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90865904 = 2419499599
BaseRepresentation
bin1010110101010…
…00000011110000
320022222110120212
411122220003300
5141230202104
613003323252
72152230113
oct532500360
9208873525
1090865904
1147322998
1226520528
1315a9610c
14c0d457a
157e9d36e
hex56a80f0

90865904 has 40 divisors (see below), whose sum is σ = 186000000. Its totient is φ = 42883776.

The previous prime is 90865891. The next prime is 90865913. The reversal of 90865904 is 40956809.

It is a super-2 number, since 2×908659042 = 16513225019474432, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151397 + ... + 151995.

It is an arithmetic number, because the mean of its divisors is an integer number (4650000).

Almost surely, 290865904 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 90865904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93000000).

90865904 is an abundant number, since it is smaller than the sum of its proper divisors (95134096).

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

90865904 is a wasteful number, since it uses less digits than its factorization.

90865904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 90865904 is about 9532.3608828034. The cubic root of 90865904 is about 449.5730996684.

The spelling of 90865904 in words is "ninety million, eight hundred sixty-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 304 499 599 998 1198 1996 2396 3992 4792 7984 9481 9584 11381 18962 22762 37924 45524 75848 91048 151696 182096 298901 597802 1195604 2391208 4782416 5679119 11358238 22716476 45432952 90865904