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45290752 = 281331439
BaseRepresentation
bin1010110011000…
…1010100000000
310011020000020021
42230301110000
543043301002
64254423224
71056652003
oct254612400
9104200207
1045290752
1123624681
1213201b14
1394c9a80
14602d53a
153e99737
hex2b31500

45290752 has 72 divisors (see below), whose sum is σ = 100728320. Its totient is φ = 20183040.

The previous prime is 45290717. The next prime is 45290753. The reversal of 45290752 is 25709254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45290753) 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, 102949 + ... + 103387.

Almost surely, 245290752 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 45290752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50364160).

45290752 is an abundant number, since it is smaller than the sum of its proper divisors (55437568).

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

45290752 is a wasteful number, since it uses less digits than its factorization.

45290752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 45290752 is about 6729.8404141555. The cubic root of 45290752 is about 356.4537411775.

It can be divided in two parts, 452 and 90752, that added together give a square (91204 = 3022).

The spelling of 45290752 in words is "forty-five million, two hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 439 496 806 832 878 992 1612 1664 1756 1984 3224 3328 3512 3968 5707 6448 7024 7936 11414 12896 13609 14048 22828 25792 27218 28096 45656 51584 54436 56192 91312 103168 108872 112384 176917 182624 217744 353834 365248 435488 707668 730496 870976 1415336 1460992 1741952 2830672 3483904 5661344 11322688 22645376 45290752