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45661312 = 272912301
BaseRepresentation
bin1010111000101…
…1110010000000
310011220211112201
42232023302000
543142130222
64310402544
71063054234
oct256136200
9104824481
1045661312
1123858024
1213360454
1395c9638
1460c85c4
15401e427
hex2b8bc80

45661312 has 32 divisors (see below), whose sum is σ = 94110300. Its totient is φ = 22041600.

The previous prime is 45661267. The next prime is 45661387. The reversal of 45661312 is 21316654.

It can be written as a sum of positive squares in 2 ways, for example, as 45481536 + 179776 = 6744^2 + 424^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×456613122 = 4169910827122688, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2439 + ... + 9862.

Almost surely, 245661312 is an apocalyptic number.

It is an amenable number.

45661312 is an abundant number, since it is smaller than the sum of its proper divisors (48448988).

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

45661312 is a wasteful number, since it uses less digits than its factorization.

45661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12344 (or 12332 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 45661312 is about 6757.3154432807. The cubic root of 45661312 is about 357.4232465999.

Adding to 45661312 its reverse (21316654), we get a palindrome (66977966).

The spelling of 45661312 in words is "forty-five million, six hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 12301 24602 49204 98408 196816 356729 393632 713458 787264 1426916 1574528 2853832 5707664 11415328 22830656 45661312