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46272564 = 22321398873
BaseRepresentation
bin1011000010000…
…1000000110100
310020001220000200
42300201000310
543321210224
64331440500
71101211302
oct260410064
9106056020
1046272564
1124135298
12135b6130
139781920
146207272
1540e05c9
hex2c21034

46272564 has 36 divisors (see below), whose sum is σ = 125965476. Its totient is φ = 14237568.

The previous prime is 46272563. The next prime is 46272599. The reversal of 46272564 is 46527264.

46272564 is a `hidden beast` number, since 4 + 627 + 25 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22184100 + 24088464 = 4710^2 + 4908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46272563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48969 + ... + 49904.

It is an arithmetic number, because the mean of its divisors is an integer number (3499041).

Almost surely, 246272564 is an apocalyptic number.

It is an amenable number.

46272564 is an abundant number, since it is smaller than the sum of its proper divisors (79692912).

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

46272564 is a wasteful number, since it uses less digits than its factorization.

46272564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98896 (or 98891 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 46272564 is about 6802.3939903537. The cubic root of 46272564 is about 359.0110822328.

The spelling of 46272564 in words is "forty-six million, two hundred seventy-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 98873 197746 296619 395492 593238 889857 1186476 1285349 1779714 2570698 3559428 3856047 5141396 7712094 11568141 15424188 23136282 46272564