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45712632 = 23371914321
BaseRepresentation
bin1010111001100…
…0010011111000
310012000102221110
42232120103320
543200301012
64311440320
71063356660
oct256302370
9105012843
1045712632
1123892639
12133860a0
139616ac4
1460dd1a0
15402e73c
hex2b984f8

45712632 has 64 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 12372480.

The previous prime is 45712627. The next prime is 45712633. The reversal of 45712632 is 23621754.

45712632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45712632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45712633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3969 + ... + 10352.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 245712632 is an apocalyptic number.

45712632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45712632 is an abundant number, since it is smaller than the sum of its proper divisors (91778568).

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

45712632 is a wasteful number, since it uses less digits than its factorization.

45712632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14356 (or 14352 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 45712632 is about 6761.1117429015. Note that the first 3 decimals coincide. The cubic root of 45712632 is about 357.5571023919.

The spelling of 45712632 in words is "forty-five million, seven hundred twelve thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 14321 28642 42963 57284 85926 100247 114568 171852 200494 272099 300741 343704 400988 544198 601482 801976 816297 1088396 1202964 1632594 1904693 2176792 2405928 3265188 3809386 5714079 6530376 7618772 11428158 15237544 22856316 45712632