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90123088 = 2411975279
BaseRepresentation
bin1010101111100…
…10101101010000
320021120201122011
411113302231100
5141032414323
612535352304
72143014346
oct527625520
9207521564
1090123088
11469658a0
1226222694
1315895c93
14bd7d996
157da320d
hex55f2b50

90123088 has 40 divisors (see below), whose sum is σ = 192487680. Its totient is φ = 40535040.

The previous prime is 90123073. The next prime is 90123109. The reversal of 90123088 is 88032109.

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, 14433 + ... + 19711.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 290123088 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 90123088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96243840).

90123088 is an abundant number, since it is smaller than the sum of its proper divisors (102364592).

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

90123088 is a wasteful number, since it uses less digits than its factorization.

90123088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 90123088 is about 9493.3180711488. The cubic root of 90123088 is about 448.3446805338.

It can be divided in two parts, 9012 and 3088, that added together give a square (12100 = 1102).

The spelling of 90123088 in words is "ninety million, one hundred twenty-three thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 388 776 1067 1552 2134 4268 5279 8536 10558 17072 21116 42232 58069 84464 116138 232276 464552 512063 929104 1024126 2048252 4096504 5632693 8193008 11265386 22530772 45061544 90123088