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90263152 = 2477111351
BaseRepresentation
bin1010110000101…
…00111001110000
320021211211202201
411120110321300
5141101410102
612542352544
72144136610
oct530247160
9207754681
1090263152
1146a51051
122628b754
1315914965
14bdb8a40
157dce987
hex5614e70

90263152 has 40 divisors (see below), whose sum is σ = 202701312. Its totient is φ = 38136000.

The previous prime is 90263141. The next prime is 90263179. The reversal of 90263152 is 25136209.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 90263152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2277 + ... + 13627.

Almost surely, 290263152 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 90263152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101350656).

90263152 is an abundant number, since it is smaller than the sum of its proper divisors (112438160).

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

90263152 is a wasteful number, since it uses less digits than its factorization.

90263152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11437 (or 11431 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 90263152 is about 9500.6921853094. The cubic root of 90263152 is about 448.5768239539.

The spelling of 90263152 in words is "ninety million, two hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1988 3976 7952 11351 22702 45404 79457 90808 158914 181616 317828 635656 805921 1271312 1611842 3223684 5641447 6447368 11282894 12894736 22565788 45131576 90263152