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45699136 = 267831229
BaseRepresentation
bin1010111001010…
…1000001000000
310011222202102121
42232111001000
543144333021
64311254024
71063302430
oct256250100
9104882377
1045699136
112388348a
121337a314
139610912
1460d82c0
15402a741
hex2b95040

45699136 has 56 divisors (see below), whose sum is σ = 104973120. Its totient is φ = 19333632.

The previous prime is 45699131. The next prime is 45699151. The reversal of 45699136 is 63199654.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×456991362 = 4176822062292992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45699092 and 45699101.

It is not an unprimeable number, because it can be changed into a prime (45699131) 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, 36570 + ... + 37798.

It is an arithmetic number, because the mean of its divisors is an integer number (1874520).

Almost surely, 245699136 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 45699136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52486560).

45699136 is an abundant number, since it is smaller than the sum of its proper divisors (59273984).

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

45699136 is a wasteful number, since it uses less digits than its factorization.

45699136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1321 counting only the distinct ones).

The product of its digits is 174960, while the sum is 43.

The square root of 45699136 is about 6760.1136085128. The cubic root of 45699136 is about 357.5219110570.

The spelling of 45699136 in words is "forty-five million, six hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1229 1328 2324 2458 2656 4648 4916 5312 8603 9296 9832 17206 18592 19664 34412 37184 39328 68824 78656 102007 137648 204014 275296 408028 550592 714049 816056 1428098 1632112 2856196 3264224 5712392 6528448 11424784 22849568 45699136