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45425632 = 2571779151
BaseRepresentation
bin1010110101001…
…0001111100000
310011110212020211
42231102033200
543112110012
64301343504
71061053150
oct255221740
9104425224
1045425632
1123706a4a
1213267b94
139546295
146066760
153ec46a7
hex2b523e0

45425632 has 96 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 17971200.

The previous prime is 45425573. The next prime is 45425669. The reversal of 45425632 is 23652454.

It is a junction number, because it is equal to n+sod(n) for n = 45425594 and 45425603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300757 + ... + 300907.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 245425632 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 45425632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

45425632 is an abundant number, since it is smaller than the sum of its proper divisors (64889888).

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

45425632 is a wasteful number, since it uses less digits than its factorization.

45425632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its digits is 28800, while the sum is 31.

The square root of 45425632 is about 6739.8540043535. The cubic root of 45425632 is about 356.8072411006.

The spelling of 45425632 in words is "forty-five million, four hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 79 112 119 136 151 158 224 238 272 302 316 476 544 553 604 632 952 1057 1106 1208 1264 1343 1904 2114 2212 2416 2528 2567 2686 3808 4228 4424 4832 5134 5372 8456 8848 9401 10268 10744 11929 16912 17696 17969 18802 20536 21488 23858 33824 35938 37604 41072 42976 47716 71876 75208 82144 83503 95432 143752 150416 167006 190864 202793 287504 300832 334012 381728 405586 575008 668024 811172 1336048 1419551 1622344 2672096 2839102 3244688 5678204 6489376 11356408 22712816 45425632