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45470736 = 2432337937
BaseRepresentation
bin1010110101110…
…1010000010000
310011120011010100
42231131100100
543120030421
64302332400
71061331513
oct255352020
9104504110
1045470736
1123737923
121328a100
13956097c
146078d7a
153ed2c26
hex2b5d410

45470736 has 60 divisors (see below), whose sum is σ = 127768732. Its totient is φ = 15095808.

The previous prime is 45470729. The next prime is 45470749. The reversal of 45470736 is 63707454.

It can be written as a sum of positive squares in 2 ways, for example, as 6533136 + 38937600 = 2556^2 + 6240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45470736.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 48060 + ... + 48996.

Almost surely, 245470736 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 45470736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63884366).

45470736 is an abundant number, since it is smaller than the sum of its proper divisors (82297996).

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

45470736 is a wasteful number, since it uses less digits than its factorization.

45470736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 45470736 is about 6743.1992407165. The cubic root of 45470736 is about 356.9252956698.

The spelling of 45470736 in words is "forty-five million, four hundred seventy thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337 674 937 1011 1348 1874 2022 2696 2811 3033 3748 4044 5392 5622 6066 7496 8088 8433 11244 12132 14992 16176 16866 22488 24264 33732 44976 48528 67464 134928 315769 631538 947307 1263076 1894614 2526152 2841921 3789228 5052304 5683842 7578456 11367684 15156912 22735368 45470736