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46117952 = 266111813
BaseRepresentation
bin1010111111101…
…1010001000000
310012210000221022
42233323101000
543301233302
64324245012
71066665446
oct257732100
9105700838
1046117952
112403a111
1213540768
13972943a
1461a6b96
1540ae8a2
hex2bfb440

46117952 has 28 divisors (see below), whose sum is σ = 93023436. Its totient is φ = 22679040.

The previous prime is 46117949. The next prime is 46117993. The reversal of 46117952 is 25971164.

46117952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7974976 + 38142976 = 2824^2 + 6176^2 .

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, 2003 + ... + 9810.

Almost surely, 246117952 is an apocalyptic number.

It is an amenable number.

46117952 is an abundant number, since it is smaller than the sum of its proper divisors (46905484).

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

46117952 is a wasteful number, since it uses less digits than its factorization.

46117952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886 (or 11876 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 46117952 is about 6791.0199528495. The cubic root of 46117952 is about 358.6107776421.

The spelling of 46117952 in words is "forty-six million, one hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 11813 23626 47252 94504 189008 378016 720593 756032 1441186 2882372 5764744 11529488 23058976 46117952