Search a number
-
+
74491296 = 25311233067
BaseRepresentation
bin1000111000010…
…10010110100000
312012011112211220
410130022112200
5123032210141
611220335040
71563110535
oct434122640
9165145756
1074491296
1139059460
1220b44480
1312581bb9
149c70d8c
156816766
hex470a5a0

74491296 has 96 divisors (see below), whose sum is σ = 222663168. Its totient is φ = 21584640.

The previous prime is 74491259. The next prime is 74491303. The reversal of 74491296 is 69219447.

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

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, 22755 + ... + 25821.

It is an arithmetic number, because the mean of its divisors is an integer number (2319408).

Almost surely, 274491296 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 74491296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111331584).

74491296 is an abundant number, since it is smaller than the sum of its proper divisors (148171872).

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

74491296 is a wasteful number, since it uses less digits than its factorization.

74491296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3106 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 74491296 is about 8630.8340269061. The cubic root of 74491296 is about 420.7607075361.

The spelling of 74491296 in words is "seventy-four million, four hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 3067 4048 6072 6134 8096 9201 12144 12268 18402 24288 24536 33737 36804 49072 67474 70541 73608 98144 101211 134948 141082 147216 202422 211623 269896 282164 294432 404844 423246 539792 564328 775951 809688 846492 1079584 1128656 1551902 1619376 1692984 2257312 2327853 3103804 3238752 3385968 4655706 6207608 6771936 9311412 12415216 18622824 24830432 37245648 74491296