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45132456 = 23343101433
BaseRepresentation
bin1010110000101…
…0101010101000
310010220222002110
42230022222220
543023214311
64251202320
71055422335
oct254125250
9103828073
1045132456
1123526756
12131463a0
1394729c5
145dcb98c
153e678a6
hex2b0aaa8

45132456 has 64 divisors (see below), whose sum is σ = 116867520. Its totient is φ = 14515200.

The previous prime is 45132443. The next prime is 45132481. The reversal of 45132456 is 65423154.

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 15 ways as a sum of consecutive naturals, for example, 104016 + ... + 104448.

It is an arithmetic number, because the mean of its divisors is an integer number (1826055).

Almost surely, 245132456 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 45132456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58433760).

45132456 is an abundant number, since it is smaller than the sum of its proper divisors (71735064).

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

45132456 is a wasteful number, since it uses less digits than its factorization.

45132456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 45132456 is about 6718.0693655246. The cubic root of 45132456 is about 356.0379751604.

The spelling of 45132456 in words is "forty-five million, one hundred thirty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 101 129 172 202 258 303 344 404 433 516 606 808 866 1032 1212 1299 1732 2424 2598 3464 4343 5196 8686 10392 13029 17372 18619 26058 34744 37238 43733 52116 55857 74476 87466 104232 111714 131199 148952 174932 223428 262398 349864 446856 524796 1049592 1880519 3761038 5641557 7522076 11283114 15044152 22566228 45132456