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45681664 = 21076373
BaseRepresentation
bin1010111001000…
…0110000000000
310011221212110111
42232100300000
543143303124
64311041104
71063200460
oct256206000
9104855414
1045681664
1123871346
1213370194
139605992
1460d1ba0
154025494
hex2b90c00

45681664 has 44 divisors (see below), whose sum is σ = 104380624. Its totient is φ = 19574784.

The previous prime is 45681659. The next prime is 45681677. The reversal of 45681664 is 46618654.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3982 + ... + 10354.

Almost surely, 245681664 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 45681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52190312).

45681664 is an abundant number, since it is smaller than the sum of its proper divisors (58698960).

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

45681664 is an equidigital number, since it uses as much as digits as its factorization.

45681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6382 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 45681664 is about 6758.8211989962. The cubic root of 45681664 is about 357.4763418579.

The spelling of 45681664 in words is "forty-five million, six hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 6373 7168 12746 25492 44611 50984 89222 101968 178444 203936 356888 407872 713776 815744 1427552 1631488 2855104 3262976 5710208 6525952 11420416 22840832 45681664