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45697608 = 2335112137
BaseRepresentation
bin1010111001010…
…0101001001000
310011222200100000
42232110221020
543144310413
64311243000
71063265115
oct256245110
9104880300
1045697608
1123882320
1213379460
139610008
1460d790c
15402a073
hex2b94a48

45697608 has 96 divisors (see below), whose sum is σ = 140081760. Its totient is φ = 13841280.

The previous prime is 45697579. The next prime is 45697609. The reversal of 45697608 is 80679654.

It is not an unprimeable number, because it can be changed into a prime (45697609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20316 + ... + 22452.

It is an arithmetic number, because the mean of its divisors is an integer number (1459185).

Almost surely, 245697608 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 45697608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70040880).

45697608 is an abundant number, since it is smaller than the sum of its proper divisors (94384152).

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

45697608 is a wasteful number, since it uses less digits than its factorization.

45697608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 45697608 is about 6760.0005917160. Note that the first 3 decimals coincide. The cubic root of 45697608 is about 357.5179263021.

The spelling of 45697608 in words is "forty-five million, six hundred ninety-seven thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2137 2376 2673 3564 4274 5346 6411 7128 8548 10692 12822 17096 19233 21384 23507 25644 38466 47014 51288 57699 70521 76932 94028 115398 141042 153864 173097 188056 211563 230796 282084 346194 423126 461592 519291 564168 634689 692388 846252 1038582 1269378 1384776 1692504 1904067 2077164 2538756 3808134 4154328 5077512 5712201 7616268 11424402 15232536 22848804 45697608