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45697088 = 261797433
BaseRepresentation
bin1010111001010…
…0100001000000
310011222122121202
42232110201000
543144301323
64311240332
71063263443
oct256244100
9104878552
1045697088
1123881998
12133790a8
13960c9c8
1460d765a
154029d28
hex2b94840

45697088 has 56 divisors (see below), whose sum is σ = 97228152. Its totient is φ = 21233664.

The previous prime is 45697081. The next prime is 45697097. The reversal of 45697088 is 88079654.

It can be written as a sum of positive squares in 4 ways, for example, as 3810304 + 41886784 = 1952^2 + 6472^2 .

It is not an unprimeable number, because it can be changed into a prime (45697081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105320 + ... + 105752.

It is an arithmetic number, because the mean of its divisors is an integer number (1736217).

Almost surely, 245697088 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 45697088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48614076).

45697088 is an abundant number, since it is smaller than the sum of its proper divisors (51531064).

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

45697088 is a wasteful number, since it uses less digits than its factorization.

45697088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 45697088 is about 6759.9621300714. The cubic root of 45697088 is about 357.5165702134.

The spelling of 45697088 in words is "forty-five million, six hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 136 194 272 388 433 544 776 866 1088 1552 1649 1732 3104 3298 3464 6208 6596 6928 7361 13192 13856 14722 26384 27712 29444 42001 52768 58888 84002 105536 117776 168004 235552 336008 471104 672016 714017 1344032 1428034 2688064 2856068 5712136 11424272 22848544 45697088