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90233856 = 210329791
BaseRepresentation
bin1010110000011…
…01110000000000
320021210100120200
411120031300000
5141044440411
612542005200
72143655316
oct530156000
9207710520
1090233856
1146a31039
1226276800
131590451b
14bdac0b6
157dc5e56
hex560dc00

90233856 has 66 divisors (see below), whose sum is σ = 260574912. Its totient is φ = 30074880.

The previous prime is 90233837. The next prime is 90233863. The reversal of 90233856 is 65833209.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90233856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4321 + ... + 14111.

Almost surely, 290233856 is an apocalyptic number.

90233856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90233856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130287456).

90233856 is an abundant number, since it is smaller than the sum of its proper divisors (170341056).

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

90233856 is a wasteful number, since it uses less digits than its factorization.

90233856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9817 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 90233856 is about 9499.1502777880. The cubic root of 90233856 is about 448.5282883542.

The spelling of 90233856 in words is "ninety million, two hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 9791 19582 29373 39164 58746 78328 88119 117492 156656 176238 234984 313312 352476 469968 626624 704952 939936 1253248 1409904 1879872 2506496 2819808 3759744 5012992 5639616 7519488 10025984 11279232 15038976 22558464 30077952 45116928 90233856