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90876912 = 2437307881
BaseRepresentation
bin1010110101010…
…10101111110000
320100000000200120
411122222233300
5141231030122
613003450240
72152304160
oct532525760
9210000616
1090876912
1147330195
1226526980
1315a9b129
14c0d85a0
157ea175c
hex56aabf0

90876912 has 80 divisors (see below), whose sum is σ = 269482752. Its totient is φ = 25850880.

The previous prime is 90876893. The next prime is 90876913. The reversal of 90876912 is 21967809.

It is a super-2 number, since 2×908769122 = 16517226269311488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90876913) 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, 102712 + ... + 103592.

Almost surely, 290876912 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 90876912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134741376).

90876912 is an abundant number, since it is smaller than the sum of its proper divisors (178605840).

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

90876912 is a wasteful number, since it uses less digits than its factorization.

90876912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 90876912 is about 9532.9382668724. The cubic root of 90876912 is about 449.5912535289.

The spelling of 90876912 in words is "ninety million, eight hundred seventy-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 307 336 614 881 921 1228 1762 1842 2149 2456 2643 3524 3684 4298 4912 5286 6167 6447 7048 7368 8596 10572 12334 12894 14096 14736 17192 18501 21144 24668 25788 34384 37002 42288 49336 51576 74004 98672 103152 148008 270467 296016 540934 811401 1081868 1622802 1893269 2163736 3245604 3786538 4327472 5679807 6491208 7573076 11359614 12982416 15146152 22719228 30292304 45438456 90876912