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90739392 = 2633753241
BaseRepresentation
bin1010110100010…
…01001011000000
320022202001001020
411122021023000
5141212130032
613000505440
72151162222
oct532111300
9208661036
1090739392
1147246937
122647b280
1315a50663
14c0a0412
157e75b2c
hex56892c0

90739392 has 112 divisors (see below), whose sum is σ = 252264672. Its totient is φ = 28753920.

The previous prime is 90739379. The next prime is 90739399. The reversal of 90739392 is 29393709.

It is not an unprimeable number, because it can be changed into a prime (90739399) 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, 376392 + ... + 376632.

Almost surely, 290739392 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 90739392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126132336).

90739392 is an abundant number, since it is smaller than the sum of its proper divisors (161525280).

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

90739392 is a wasteful number, since it uses less digits than its factorization.

90739392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 42.

The square root of 90739392 is about 9525.7226497521. The cubic root of 90739392 is about 449.3643568722.

The spelling of 90739392 in words is "ninety million, seven hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 64 74 96 106 111 148 159 192 212 222 241 296 318 424 444 482 592 636 723 848 888 964 1184 1272 1446 1696 1776 1928 1961 2368 2544 2892 3392 3552 3856 3922 5088 5784 5883 7104 7712 7844 8917 10176 11568 11766 12773 15424 15688 17834 23136 23532 25546 26751 31376 35668 38319 46272 47064 51092 53502 62752 71336 76638 94128 102184 107004 125504 142672 153276 188256 204368 214008 285344 306552 376512 408736 428016 472601 570688 613104 817472 856032 945202 1226208 1417803 1712064 1890404 2452416 2835606 3780808 5671212 7561616 11342424 15123232 22684848 30246464 45369696 90739392