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74494944 = 2533151571
BaseRepresentation
bin1000111000010…
…11001111100000
312012011201212000
410130023033200
5123032314234
611220404000
71563124266
oct434131740
9165151760
1074494944
1139061177
1220b46600
1312583764
149c72436
156817899
hex470b3e0

74494944 has 96 divisors (see below), whose sum is σ = 219098880. Its totient is φ = 24624000.

The previous prime is 74494943. The next prime is 74494961. The reversal of 74494944 is 44949447.

It is a happy number.

74494944 is a `hidden beast` number, since 74 + 494 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×744949443 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74494944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74494943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130179 + ... + 130749.

It is an arithmetic number, because the mean of its divisors is an integer number (2282280).

Almost surely, 274494944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74494944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109549440).

74494944 is an abundant number, since it is smaller than the sum of its proper divisors (144603936).

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

74494944 is a wasteful number, since it uses less digits than its factorization.

74494944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 727 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 74494944 is about 8631.0453596305. The cubic root of 74494944 is about 420.7675759448.

The spelling of 74494944 in words is "seventy-four million, four hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 151 216 288 302 432 453 571 604 864 906 1142 1208 1359 1713 1812 2284 2416 2718 3426 3624 4077 4568 4832 5139 5436 6852 7248 8154 9136 10278 10872 13704 14496 15417 16308 18272 20556 21744 27408 30834 32616 41112 43488 54816 61668 65232 82224 86221 123336 130464 164448 172442 246672 258663 344884 493344 517326 689768 775989 1034652 1379536 1551978 2069304 2327967 2759072 3103956 4138608 4655934 6207912 8277216 9311868 12415824 18623736 24831648 37247472 74494944