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45423936 = 263397271
BaseRepresentation
bin1010110101000…
…1110101000000
310011110202221000
42231101311000
543112031221
64301332000
71061045205
oct255216500
9104422830
1045423936
1123705748
1213267000
13954558c
146065cac
153ec3e26
hex2b51d40

45423936 has 112 divisors (see below), whose sum is σ = 135412480. Its totient is φ = 14929920.

The previous prime is 45423899. The next prime is 45423943. The reversal of 45423936 is 63932454.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45423936.

It is a congruent number.

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, 167481 + ... + 167751.

It is an arithmetic number, because the mean of its divisors is an integer number (1209040).

Almost surely, 245423936 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 45423936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67706240).

45423936 is an abundant number, since it is smaller than the sum of its proper divisors (89988544).

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

45423936 is a wasteful number, since it uses less digits than its factorization.

45423936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 373 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 45423936 is about 6739.7281844300. The cubic root of 45423936 is about 356.8028004901.

The spelling of 45423936 in words is "forty-five million, four hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 144 192 194 216 271 288 291 388 432 542 576 582 776 813 864 873 1084 1164 1552 1626 1728 1746 2168 2328 2439 2619 3104 3252 3492 4336 4656 4878 5238 6208 6504 6984 7317 8672 9312 9756 10476 13008 13968 14634 17344 18624 19512 20952 26016 26287 27936 29268 39024 41904 52032 52574 55872 58536 78048 78861 83808 105148 117072 156096 157722 167616 210296 234144 236583 315444 420592 468288 473166 630888 709749 841184 946332 1261776 1419498 1682368 1892664 2523552 2838996 3785328 5047104 5677992 7570656 11355984 15141312 22711968 45423936