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45306432 = 2633157167
BaseRepresentation
bin1010110011010…
…1001001000000
310011020210202000
42230311021000
543044301212
64255024000
71060045503
oct254651100
9104223660
1045306432
1123635436
121320b000
139503c52
14603513a
153e9e1dc
hex2b35240

45306432 has 112 divisors (see below), whose sum is σ = 134843520. Its totient is φ = 14916096.

The previous prime is 45306419. The next prime is 45306433. The reversal of 45306432 is 23460354.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45306396 and 45306405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45306433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271213 + ... + 271379.

It is an arithmetic number, because the mean of its divisors is an integer number (1203960).

Almost surely, 245306432 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 45306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67421760).

45306432 is an abundant number, since it is smaller than the sum of its proper divisors (89537088).

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

45306432 is a wasteful number, since it uses less digits than its factorization.

45306432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 45306432 is about 6731.0052741028. The cubic root of 45306432 is about 356.4948720893.

Adding to 45306432 its reverse (23460354), we get a palindrome (68766786).

The spelling of 45306432 in words is "forty-five million, three hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 157 167 192 216 288 314 334 432 471 501 576 628 668 864 942 1002 1256 1336 1413 1503 1728 1884 2004 2512 2672 2826 3006 3768 4008 4239 4509 5024 5344 5652 6012 7536 8016 8478 9018 10048 10688 11304 12024 15072 16032 16956 18036 22608 24048 26219 30144 32064 33912 36072 45216 48096 52438 67824 72144 78657 90432 96192 104876 135648 144288 157314 209752 235971 271296 288576 314628 419504 471942 629256 707913 839008 943884 1258512 1415826 1678016 1887768 2517024 2831652 3775536 5034048 5663304 7551072 11326608 15102144 22653216 45306432