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61620032 = 264322391
BaseRepresentation
bin1110101100001…
…1111101000000
311021221121210102
43223003331000
5111233320112
610040421532
71345522145
oct353037500
9137847712
1061620032
1131868051
12187778a8
13c9c6476
1482803cc
155622bc2
hex3ac3f40

61620032 has 28 divisors (see below), whose sum is σ = 125126496. Its totient is φ = 30092160.

The previous prime is 61620023. The next prime is 61620043. The reversal of 61620032 is 23002616.

61620032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61619986 and 61620013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8444 + ... + 13947.

Almost surely, 261620032 is an apocalyptic number.

It is an amenable number.

61620032 is an abundant number, since it is smaller than the sum of its proper divisors (63506464).

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

61620032 is a wasteful number, since it uses less digits than its factorization.

61620032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22446 (or 22436 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 61620032 is about 7849.8428009738. The cubic root of 61620032 is about 394.9789701991.

Adding to 61620032 its reverse (23002616), we get a palindrome (84622648).

The spelling of 61620032 in words is "sixty-one million, six hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 2752 22391 44782 89564 179128 358256 716512 962813 1433024 1925626 3851252 7702504 15405008 30810016 61620032