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90196008 = 23374711423
BaseRepresentation
bin1010110000001…
…00100000101000
320021201102122220
411120010200220
5141042233013
612541114040
72143440060
oct530044050
9207642586
1090196008
1146a05661
1226258920
13158c0226
14bd9c3a0
157db9b23
hex5604828

90196008 has 64 divisors (see below), whose sum is σ = 263208960. Its totient is φ = 25219776.

The previous prime is 90195997. The next prime is 90196009. The reversal of 90196008 is 80069109.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90196008.

It is not an unprimeable number, because it can be changed into a prime (90196009) 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, 2185 + ... + 13607.

It is an arithmetic number, because the mean of its divisors is an integer number (4112640).

Almost surely, 290196008 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 90196008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

90196008 is an abundant number, since it is smaller than the sum of its proper divisors (173012952).

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

90196008 is a wasteful number, since it uses less digits than its factorization.

90196008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11486 (or 11482 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 90196008 is about 9497.1578906534. The cubic root of 90196008 is about 448.4655688331.

The spelling of 90196008 in words is "ninety million, one hundred ninety-six thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 7896 11423 22846 34269 45692 68538 79961 91384 137076 159922 239883 274152 319844 479766 536881 639688 959532 1073762 1610643 1919064 2147524 3221286 3758167 4295048 6442572 7516334 11274501 12885144 15032668 22549002 30065336 45098004 90196008