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90100192 = 2571330941
BaseRepresentation
bin1010101111011…
…01000111100000
320021112120020011
411113231013200
5141031201232
612535054304
72142560530
oct527550740
9207476204
1090100192
114694a676
1226211394
1315888730
14bd754c0
157d9b547
hex55ed1e0

90100192 has 48 divisors (see below), whose sum is σ = 218326752. Its totient is φ = 35642880.

The previous prime is 90100169. The next prime is 90100201. The reversal of 90100192 is 29100109.

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, 12559 + ... + 18382.

It is an arithmetic number, because the mean of its divisors is an integer number (4548474).

Almost surely, 290100192 is an apocalyptic number.

It is an amenable number.

90100192 is an abundant number, since it is smaller than the sum of its proper divisors (128226560).

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

90100192 is a wasteful number, since it uses less digits than its factorization.

90100192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30971 (or 30963 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 90100192 is about 9492.1120937334. The cubic root of 90100192 is about 448.3067096155.

The spelling of 90100192 in words is "ninety million, one hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 30941 61882 123764 216587 247528 402233 433174 495056 804466 866348 990112 1608932 1732696 2815631 3217864 3465392 5631262 6435728 6930784 11262524 12871456 22525048 45050096 90100192