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90967296 = 283716921
BaseRepresentation
bin1010110110000…
…00110100000000
320100011121200010
411123000310000
5141241423141
613005424520
72153131530
oct533006400
9210147603
1090967296
1147392092
122656b140
1315b00304
14c11d4c0
157ebd416
hex56c0d00

90967296 has 72 divisors (see below), whose sum is σ = 276708544. Its totient is φ = 25989120.

The previous prime is 90967249. The next prime is 90967297. The reversal of 90967296 is 69276909.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90967297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3085 + ... + 13836.

Almost surely, 290967296 is an apocalyptic number.

90967296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90967296 is an abundant number, since it is smaller than the sum of its proper divisors (185741248).

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

90967296 is a wasteful number, since it uses less digits than its factorization.

90967296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16947 (or 16933 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 90967296 is about 9537.6777047665. The cubic root of 90967296 is about 449.7402550395.

The spelling of 90967296 in words is "ninety million, nine hundred sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 16921 33842 50763 67684 101526 118447 135368 203052 236894 270736 355341 406104 473788 541472 710682 812208 947576 1082944 1421364 1624416 1895152 2165888 2842728 3248832 3790304 4331776 5685456 6497664 7580608 11370912 12995328 15161216 22741824 30322432 45483648 90967296