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74869056 = 2633371171
BaseRepresentation
bin1000111011001…
…10100101000000
312012212202001000
410131212211000
5123131302211
611232412000
71566243063
oct435464500
9165782030
1074869056
1139297259
12210a7000
1312684b22
149d2c8da
15688d656
hex4766940

74869056 has 112 divisors (see below), whose sum is σ = 226242880. Its totient is φ = 24261120.

The previous prime is 74869049. The next prime is 74869057. The reversal of 74869056 is 65096847.

It is a super-2 number, since 2×748690562 = 11210751092662272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74869057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63351 + ... + 64521.

Almost surely, 274869056 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 74869056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113121440).

74869056 is an abundant number, since it is smaller than the sum of its proper divisors (151373824).

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

74869056 is a wasteful number, since it uses less digits than its factorization.

74869056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 74869056 is about 8652.6906797828. The cubic root of 74869056 is about 421.4707620200.

The spelling of 74869056 in words is "seventy-four million, eight hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 864 888 999 1171 1184 1332 1728 1776 1998 2342 2368 2664 3513 3552 3996 4684 5328 7026 7104 7992 9368 10539 10656 14052 15984 18736 21078 21312 28104 31617 31968 37472 42156 43327 56208 63234 63936 74944 84312 86654 112416 126468 129981 168624 173308 224832 252936 259962 337248 346616 389943 505872 519924 674496 693232 779886 1011744 1039848 1169829 1386464 1559772 2023488 2079696 2339658 2772928 3119544 4159392 4679316 6239088 8318784 9358632 12478176 18717264 24956352 37434528 74869056