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45268032 = 2631912409
BaseRepresentation
bin1010110010101…
…1110001000000
310011011212001210
42230223301000
543042034112
64254130120
71056525525
oct254536100
9104155053
1045268032
11236095a7
12131b0940
1394bc624
14602514c
153e92b3c
hex2b2bc40

45268032 has 56 divisors (see below), whose sum is σ = 126085600. Its totient is φ = 14294016.

The previous prime is 45268031. The next prime is 45268037. The reversal of 45268032 is 23086254.

It is not an unprimeable number, because it can be changed into a prime (45268031) 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, 2557 + ... + 9852.

Almost surely, 245268032 is an apocalyptic number.

It is an amenable number.

45268032 is an abundant number, since it is smaller than the sum of its proper divisors (80817568).

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

45268032 is a wasteful number, since it uses less digits than its factorization.

45268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12443 (or 12433 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 45268032 is about 6728.1521980407. The cubic root of 45268032 is about 356.3941264788.

The spelling of 45268032 in words is "forty-five million, two hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 12409 24818 37227 49636 74454 99272 148908 198544 235771 297816 397088 471542 595632 707313 794176 943084 1191264 1414626 1886168 2382528 2829252 3772336 5658504 7544672 11317008 15089344 22634016 45268032