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74008896 = 26313149199
BaseRepresentation
bin1000110100101…
…00100101000000
312011021001010020
410122110211000
5122421241041
611202133440
71556031243
oct432244500
9164231106
1074008896
1138859a85
1220951280
1312443460
149b8725a
15676d866
hex4694940

74008896 has 112 divisors (see below), whose sum is σ = 213360000. Its totient is φ = 22505472.

The previous prime is 74008877. The next prime is 74008901. The reversal of 74008896 is 69880047.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371805 + ... + 372003.

It is an arithmetic number, because the mean of its divisors is an integer number (1905000).

Almost surely, 274008896 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 74008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106680000).

74008896 is an abundant number, since it is smaller than the sum of its proper divisors (139351104).

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

74008896 is a wasteful number, since it uses less digits than its factorization.

74008896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 74008896 is about 8602.8423210007. The cubic root of 74008896 is about 419.8504683108.

The spelling of 74008896 in words is "seventy-four million, eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 149 156 192 199 208 298 312 398 416 447 596 597 624 796 832 894 1192 1194 1248 1592 1788 1937 2384 2388 2496 2587 3184 3576 3874 4768 4776 5174 5811 6368 7152 7748 7761 9536 9552 10348 11622 12736 14304 15496 15522 19104 20696 23244 28608 29651 30992 31044 38208 41392 46488 59302 61984 62088 82784 88953 92976 118604 123968 124176 165568 177906 185952 237208 248352 355812 371904 385463 474416 496704 711624 770926 948832 1156389 1423248 1541852 1897664 2312778 2846496 3083704 4625556 5692992 6167408 9251112 12334816 18502224 24669632 37004448 74008896