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90275712 = 2731713829
BaseRepresentation
bin1010110000101…
…11111110000000
320021212110222220
411120113332000
5141102310322
612542531040
72144221332
oct530277600
9207773886
1090275712
1146a5a52a
1226296a80
131591a5a7
14bdbd452
157dd355c
hex5617f80

90275712 has 64 divisors (see below), whose sum is σ = 253918800. Its totient is φ = 28319744.

The previous prime is 90275711. The next prime is 90275747. The reversal of 90275712 is 21757209.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90275711) by changing a digit.

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, 387 + ... + 13442.

Almost surely, 290275712 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 90275712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126959400).

90275712 is an abundant number, since it is smaller than the sum of its proper divisors (163643088).

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

90275712 is a wasteful number, since it uses less digits than its factorization.

90275712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13863 (or 13851 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 90275712 is about 9501.3531667863. The cubic root of 90275712 is about 448.5976292824.

The spelling of 90275712 in words is "ninety million, two hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 13829 27658 41487 55316 82974 110632 165948 221264 235093 331896 442528 470186 663792 705279 885056 940372 1327584 1410558 1770112 1880744 2655168 2821116 3761488 5310336 5642232 7522976 11284464 15045952 22568928 30091904 45137856 90275712