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61545536 = 261373973
BaseRepresentation
bin1110101011000…
…1110001000000
311021210211121022
43222301301000
5111223424121
610035045012
71345062023
oct352616100
9137724538
1061545536
1131817088
1218740768
13c99b5a0
1482611ba
15560aaab
hex3ab1c40

61545536 has 28 divisors (see below), whose sum is σ = 131525772. Its totient is φ = 28405248.

The previous prime is 61545527. The next prime is 61545553. The reversal of 61545536 is 63554516.

It can be written as a sum of positive squares in 2 ways, for example, as 26214400 + 35331136 = 5120^2 + 5944^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 61545496 and 61545505.

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, 36155 + ... + 37818.

It is an arithmetic number, because the mean of its divisors is an integer number (4697349).

Almost surely, 261545536 is an apocalyptic number.

It is an amenable number.

61545536 is an abundant number, since it is smaller than the sum of its proper divisors (69980236).

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

61545536 is a wasteful number, since it uses less digits than its factorization.

61545536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73998 (or 73988 counting only the distinct ones).

The product of its digits is 54000, while the sum is 35.

The square root of 61545536 is about 7845.0963027869. The cubic root of 61545536 is about 394.8197350825.

The spelling of 61545536 in words is "sixty-one million, five hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 73973 147946 295892 591784 961649 1183568 1923298 2367136 3846596 4734272 7693192 15386384 30772768 61545536