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4089054000 = 243535911551
BaseRepresentation
bin1111001110111010…
…0000001100110000
3101112222021110120110
43303232200030300
531333244212000
61513430341320
7203221246143
oct36356401460
911488243513
104089054000
111809189879
129614ba840
13502201ba5
142ab0d605a
1518deb6850
hexf3ba0330

4089054000 has 160 divisors (see below), whose sum is σ = 13407713280. Its totient is φ = 1071840000.

The previous prime is 4089053993. The next prime is 4089054007. The reversal of 4089054000 is 4509804.

It is an interprime number because it is at equal distance from previous prime (4089053993) and next prime (4089054007).

It is a super-2 number, since 2×40890540002 = 33440725229832000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4089054007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348225 + ... + 359775.

It is an arithmetic number, because the mean of its divisors is an integer number (83798208).

Almost surely, 24089054000 is an apocalyptic number.

4089054000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4089054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703856640).

4089054000 is an abundant number, since it is smaller than the sum of its proper divisors (9318659280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4089054000 is a wasteful number, since it uses less digits than its factorization.

4089054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11636 (or 11620 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4089054000 is about 63945.7113495503. The cubic root of 4089054000 is about 1599.0950611918.

The spelling of 4089054000 in words is "four billion, eighty-nine million, fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 59 60 75 80 100 118 120 125 150 177 200 236 240 250 295 300 354 375 400 472 500 590 600 708 750 885 944 1000 1180 1200 1416 1475 1500 1770 2000 2360 2832 2950 3000 3540 4425 4720 5900 6000 7080 7375 8850 11551 11800 14160 14750 17700 22125 23102 23600 29500 34653 35400 44250 46204 57755 59000 69306 70800 88500 92408 115510 118000 138612 173265 177000 184816 231020 277224 288775 346530 354000 462040 554448 577550 681509 693060 866325 924080 1155100 1363018 1386120 1443875 1732650 2044527 2310200 2726036 2772240 2887750 3407545 3465300 4089054 4331625 4620400 5452072 5775500 6815090 6930600 8178108 8663250 10222635 10904144 11551000 13630180 13861200 16356216 17037725 17326500 20445270 23102000 27260360 32712432 34075450 34653000 40890540 51113175 54520720 68150900 69306000 81781080 85188625 102226350 136301800 163562160 170377250 204452700 255565875 272603600 340754500 408905400 511131750 681509000 817810800 1022263500 1363018000 2044527000 4089054000