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4455242000 = 245311313647
BaseRepresentation
bin1000010011000110…
…11001100100010000
3102111111022202001222
410021203121210100
533111020221000
62014031144212
7215255634506
oct41143314420
912444282058
104455242000
111986960290
12a44075068
13560035391
143039b8676
151b11eba85
hex1098d9910

4455242000 has 160 divisors (see below), whose sum is σ = 11807887104. Its totient is φ = 1612416000.

The previous prime is 4455241993. The next prime is 4455242017. The reversal of 4455242000 is 2425544.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6885677 + ... + 6886323.

Almost surely, 24455242000 is an apocalyptic number.

4455242000 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 4455242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903943552).

4455242000 is an abundant number, since it is smaller than the sum of its proper divisors (7352645104).

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

4455242000 is a wasteful number, since it uses less digits than its factorization.

4455242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 4455242000 is about 66747.5992077618. The cubic root of 4455242000 is about 1645.4717592012.

Adding to 4455242000 its reverse (2425544), we get a palindrome (4457667544).

The spelling of 4455242000 in words is "four billion, four hundred fifty-five million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 313 400 440 500 550 626 647 880 1000 1100 1252 1294 1375 1565 2000 2200 2504 2588 2750 3130 3235 3443 4400 5008 5176 5500 6260 6470 6886 7117 7825 10352 11000 12520 12940 13772 14234 15650 16175 17215 22000 25040 25880 27544 28468 31300 32350 34430 35585 39125 51760 55088 56936 62600 64700 68860 71170 78250 80875 86075 113872 125200 129400 137720 142340 156500 161750 172150 177925 202511 258800 275440 284680 313000 323500 344300 355850 405022 430375 569360 626000 647000 688600 711700 810044 860750 889625 1012555 1294000 1377200 1423400 1620088 1721500 1779250 2025110 2227621 2846800 3240176 3443000 3558500 4050220 4455242 5062775 6886000 7117000 8100440 8910484 10125550 11138105 14234000 16200880 17820968 20251100 22276210 25313875 35641936 40502200 44552420 50627750 55690525 81004400 89104840 101255500 111381050 178209680 202511000 222762100 278452625 405022000 445524200 556905250 891048400 1113810500 2227621000 4455242000