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90375852 = 223743131191
BaseRepresentation
bin1010110001100…
…00011010101100
320022001120100210
411120300122230
5141114011402
612545022420
72145116310
oct530603254
9208046323
1090375852
1147018796
1226324a10
1315954048
14c007b40
157e0306c
hex56306ac

90375852 has 96 divisors (see below), whose sum is σ = 249790464. Its totient is φ = 24897600.

The previous prime is 90375841. The next prime is 90375871. The reversal of 90375852 is 25857309.

It is a self number, because there is not a number n which added to its sum of digits gives 90375852.

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, 473077 + ... + 473267.

It is an arithmetic number, because the mean of its divisors is an integer number (2601984).

Almost surely, 290375852 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 90375852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124895232).

90375852 is an abundant number, since it is smaller than the sum of its proper divisors (159414612).

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

90375852 is a wasteful number, since it uses less digits than its factorization.

90375852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 90375852 is about 9506.6214818936. The cubic root of 90375852 is about 448.7634397218.

The spelling of 90375852 in words is "ninety million, three hundred seventy-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 131 172 191 258 262 301 382 393 516 524 573 602 764 786 903 917 1146 1204 1337 1572 1806 1834 2292 2674 2751 3612 3668 4011 5348 5502 5633 8022 8213 11004 11266 16044 16426 16899 22532 24639 25021 32852 33798 39431 49278 50042 57491 67596 75063 78862 98556 100084 114982 118293 150126 157724 172473 175147 229964 236586 300252 344946 350294 473172 525441 689892 700588 1050882 1075903 2101764 2151806 3227709 4303612 6455418 7531321 12910836 15062642 22593963 30125284 45187926 90375852