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90426504 = 23373197179
BaseRepresentation
bin1010110001111…
…00110010001000
320022011010211210
411120330302020
5141122122004
612550053120
72145420060
oct530746210
9208133753
1090426504
1147052853
122634a1a0
131597110c
14c01c3a0
157e13089
hex563cc88

90426504 has 128 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 24606720.

The previous prime is 90426433. The next prime is 90426521. The reversal of 90426504 is 40562409.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505087 + ... + 505265.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 290426504 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 90426504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

90426504 is an abundant number, since it is smaller than the sum of its proper divisors (180523896).

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

90426504 is a wasteful number, since it uses less digits than its factorization.

90426504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 90426504 is about 9509.2851466343. The cubic root of 90426504 is about 448.8472619672.

The spelling of 90426504 in words is "ninety million, four hundred twenty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 97 124 168 179 186 194 217 248 291 358 372 388 434 537 582 651 679 716 744 776 868 1074 1164 1253 1302 1358 1432 1736 2037 2148 2328 2506 2604 2716 3007 3759 4074 4296 5012 5208 5432 5549 6014 7518 8148 9021 10024 11098 12028 15036 16296 16647 17363 18042 21049 22196 24056 30072 33294 34726 36084 38843 42098 44392 52089 63147 66588 69452 72168 77686 84196 104178 116529 121541 126294 133176 138904 155372 168392 208356 233058 243082 252588 310744 364623 416712 466116 486164 505176 538253 729246 932232 972328 1076506 1458492 1614759 2153012 2916984 3229518 3767771 4306024 6459036 7535542 11303313 12918072 15071084 22606626 30142168 45213252 90426504