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74039904 = 2532318293
BaseRepresentation
bin1000110100111…
…00001001100000
312011022121122200
410122130021200
5122423234104
611202533200
71556220531
oct432341140
9164277580
1074039904
1138880304
1220967200
13124545c3
149b94688
156777b39
hex469c260

74039904 has 72 divisors (see below), whose sum is σ = 217369152. Its totient is φ = 23880960.

The previous prime is 74039897. The next prime is 74039939. The reversal of 74039904 is 40993047.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4782 + ... + 13074.

It is an arithmetic number, because the mean of its divisors is an integer number (3019016).

Almost surely, 274039904 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 74039904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108684576).

74039904 is an abundant number, since it is smaller than the sum of its proper divisors (143329248).

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

74039904 is a wasteful number, since it uses less digits than its factorization.

74039904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8340 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 74039904 is about 8604.6443273386. The cubic root of 74039904 is about 419.9090959726.

The spelling of 74039904 in words is "seventy-four million, thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8293 8928 16586 24879 33172 49758 66344 74637 99516 132688 149274 199032 257083 265376 298548 398064 514166 597096 771249 796128 1028332 1194192 1542498 2056664 2313747 2388384 3084996 4113328 4627494 6169992 8226656 9254988 12339984 18509976 24679968 37019952 74039904