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4074454880 = 255109307761
BaseRepresentation
bin1111001011011011…
…0011111101100000
3101111221210202100022
43302312303331200
531321030024010
61512145413012
7202653203126
oct36266637540
911457722308
104074454880
111800a18291
1295863a168
134cc18cb62
142a91b5916
1518ca80d55
hexf2db3f60

4074454880 has 96 divisors (see below), whose sum is σ = 9758659680. Its totient is φ = 1607454720.

The previous prime is 4074454877. The next prime is 4074454913. The reversal of 4074454880 is 884544704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5353700 + ... + 5354460.

It is an arithmetic number, because the mean of its divisors is an integer number (101652705).

Almost surely, 24074454880 is an apocalyptic number.

4074454880 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 4074454880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879329840).

4074454880 is an abundant number, since it is smaller than the sum of its proper divisors (5684204800).

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

4074454880 is a wasteful number, since it uses less digits than its factorization.

4074454880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 44.

The square root of 4074454880 is about 63831.4568218523. The cubic root of 4074454880 is about 1597.1897126514.

The spelling of 4074454880 in words is "four billion, seventy-four million, four hundred fifty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 307 436 545 614 761 872 1090 1228 1522 1535 1744 2180 2456 3044 3070 3488 3805 4360 4912 6088 6140 7610 8720 9824 12176 12280 15220 17440 24352 24560 30440 33463 49120 60880 66926 82949 121760 133852 165898 167315 233627 267704 331796 334630 414745 467254 535408 663592 669260 829490 934508 1070816 1168135 1327184 1338520 1658980 1869016 2336270 2654368 2677040 3317960 3738032 4672540 5354080 6635920 7476064 9345080 13271840 18690160 25465343 37380320 50930686 101861372 127326715 203722744 254653430 407445488 509306860 814890976 1018613720 2037227440 4074454880