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90561888 = 253434939
BaseRepresentation
bin1010110010111…
…01110101100000
320022102000120000
411121131311200
5141140440023
612553020000
72146522554
oct531356540
9208360500
1090561888
114713553a
12263b4600
13159ba921
14c055864
157e3d243
hex565dd60

90561888 has 60 divisors (see below), whose sum is σ = 266347620. Its totient is φ = 30186432.

The previous prime is 90561871. The next prime is 90561893. The reversal of 90561888 is 88816509.

90561888 is a `hidden beast` number, since 9 + 0 + 561 + 8 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14878 + ... + 20061.

It is an arithmetic number, because the mean of its divisors is an integer number (4439127).

Almost surely, 290561888 is an apocalyptic number.

It is an amenable number.

90561888 is an abundant number, since it is smaller than the sum of its proper divisors (175785732).

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

90561888 is a wasteful number, since it uses less digits than its factorization.

90561888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34961 (or 34944 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 90561888 is about 9516.4010003782. The cubic root of 90561888 is about 449.0711507392.

The spelling of 90561888 in words is "ninety million, five hundred sixty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 34939 69878 104817 139756 209634 279512 314451 419268 559024 628902 838536 943353 1118048 1257804 1677072 1886706 2515608 2830059 3354144 3773412 5031216 5660118 7546824 10062432 11320236 15093648 22640472 30187296 45280944 90561888