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90067392 = 2632271577
BaseRepresentation
bin1010101111001…
…01000111000000
320021110220020100
411113211013000
5141024124032
612534242400
72142363102
oct527450700
9207426210
1090067392
1146927a68
12261b6400
131587681c
14bd67572
157d9197c
hex55e51c0

90067392 has 84 divisors (see below), whose sum is σ = 259563616. Its totient is φ = 29859840.

The previous prime is 90067349. The next prime is 90067421. The reversal of 90067392 is 29376009.

It is a super-2 number, since 2×900673922 = 16224270203363328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155808 + ... + 156384.

Almost surely, 290067392 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 90067392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129781808).

90067392 is an abundant number, since it is smaller than the sum of its proper divisors (169496224).

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

90067392 is a wasteful number, since it uses less digits than its factorization.

90067392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 90067392 is about 9490.3841861118. The cubic root of 90067392 is about 448.2523026106.

The spelling of 90067392 in words is "ninety million, sixty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 271 288 542 576 577 813 1084 1154 1626 1731 2168 2308 2439 3252 3462 4336 4616 4878 5193 6504 6924 8672 9232 9756 10386 13008 13848 17344 18464 19512 20772 26016 27696 36928 39024 41544 52032 55392 78048 83088 110784 156096 156367 166176 312734 332352 469101 625468 938202 1250936 1407303 1876404 2501872 2814606 3752808 5003744 5629212 7505616 10007488 11258424 15011232 22516848 30022464 45033696 90067392