Search a number
-
+
90612976 = 24191272347
BaseRepresentation
bin1010110011010…
…10010011110000
320022111121122011
411121222103300
5141144103401
612554052304
72150124526
oct531522360
9208447564
1090612976
114716a963
122641a094
1315a07c5c
14c06a316
157e4d451
hex566a4f0

90612976 has 40 divisors (see below), whose sum is σ = 186337280. Its totient is φ = 42565824.

The previous prime is 90612961. The next prime is 90612989. The reversal of 90612976 is 67921609.

It is a super-2 number, since 2×906129762 = 16421422839153152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37435 + ... + 39781.

It is an arithmetic number, because the mean of its divisors is an integer number (4658432).

Almost surely, 290612976 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 90612976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93168640).

90612976 is an abundant number, since it is smaller than the sum of its proper divisors (95724304).

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

90612976 is a wasteful number, since it uses less digits than its factorization.

90612976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 90612976 is about 9519.0848299613. The cubic root of 90612976 is about 449.1555785810.

The spelling of 90612976 in words is "ninety million, six hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 76 127 152 254 304 508 1016 2032 2347 2413 4694 4826 9388 9652 18776 19304 37552 38608 44593 89186 178372 298069 356744 596138 713488 1192276 2384552 4769104 5663311 11326622 22653244 45306488 90612976