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45572736 = 2731110789
BaseRepresentation
bin1010110111011…
…0001010000000
310011202100001010
42231312022000
543131311421
64304440520
71062235056
oct255661200
9104670033
1045572736
11237a7520
1213319140
139598221
1460a41d6
154003076
hex2b76280

45572736 has 64 divisors (see below), whose sum is σ = 132069600. Its totient is φ = 13808640.

The previous prime is 45572731. The next prime is 45572743. The reversal of 45572736 is 63727554.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 45572694 and 45572703.

It is not an unprimeable number, because it can be changed into a prime (45572731) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1171 + ... + 9618.

Almost surely, 245572736 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 45572736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66034800).

45572736 is an abundant number, since it is smaller than the sum of its proper divisors (86496864).

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

45572736 is a wasteful number, since it uses less digits than its factorization.

45572736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10817 (or 10805 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 45572736 is about 6750.7581796418. The cubic root of 45572736 is about 357.1919814180.

The spelling of 45572736 in words is "forty-five million, five hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 10789 21578 32367 43156 64734 86312 118679 129468 172624 237358 258936 345248 356037 474716 517872 690496 712074 949432 1035744 1380992 1424148 1898864 2071488 2848296 3797728 4142976 5696592 7595456 11393184 15190912 22786368 45572736