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46425664 = 261973523
BaseRepresentation
bin1011000100011…
…0011001000000
310020100200001001
42301012121000
543341110124
64335021344
71102416535
oct261063100
9106320031
1046425664
112422a31a
121366a854
13980650c
146246d8c
154120b44
hex2c46640

46425664 has 56 divisors (see below), whose sum is σ = 98491040. Its totient is φ = 21648384.

The previous prime is 46425647. The next prime is 46425667. The reversal of 46425664 is 46652464.

It is not an unprimeable number, because it can be changed into a prime (46425667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88507 + ... + 89029.

Almost surely, 246425664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49245520).

46425664 is an abundant number, since it is smaller than the sum of its proper divisors (52065376).

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

46425664 is a wasteful number, since it uses less digits than its factorization.

46425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The square root of 46425664 is about 6813.6380884224. The cubic root of 46425664 is about 359.4065944145.

It can be divided in two parts, 46425 and 664, that added together give a square (47089 = 2172).

The spelling of 46425664 in words is "forty-six million, four hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 73 76 146 152 292 304 523 584 608 1046 1168 1216 1387 2092 2336 2774 4184 4672 5548 8368 9937 11096 16736 19874 22192 33472 38179 39748 44384 76358 79496 88768 152716 158992 305432 317984 610864 635968 725401 1221728 1450802 2443456 2901604 5803208 11606416 23212832 46425664