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45492384 = 2537219509
BaseRepresentation
bin1010110110001…
…0100010100000
310011121020211010
42231202202200
543121224014
64303020520
71061451600
oct255424240
9104536733
1045492384
1123752113
121329a740
13956a792
146082c00
153ed9359
hex2b628a0

45492384 has 144 divisors (see below), whose sum is σ = 146512800. Its totient is φ = 12289536.

The previous prime is 45492379. The next prime is 45492401. The reversal of 45492384 is 48329454.

Its product of digits (138240) is a multiple of the sum of its prime divisors (540).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89122 + ... + 89630.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 245492384 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 45492384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73256400).

45492384 is an abundant number, since it is smaller than the sum of its proper divisors (101020416).

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

45492384 is a wasteful number, since it uses less digits than its factorization.

45492384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 540 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 45492384 is about 6744.8042225108. The cubic root of 45492384 is about 356.9819291122.

The spelling of 45492384 in words is "forty-five million, four hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 509 532 588 608 672 784 798 912 931 1018 1064 1176 1527 1568 1596 1824 1862 2036 2128 2352 2793 3054 3192 3563 3724 4072 4256 4704 5586 6108 6384 7126 7448 8144 9671 10689 11172 12216 12768 14252 14896 16288 19342 21378 22344 24432 24941 28504 29013 29792 38684 42756 44688 48864 49882 57008 58026 67697 74823 77368 85512 89376 99764 114016 116052 135394 149646 154736 171024 199528 203091 232104 270788 299292 309472 342048 399056 406182 464208 473879 541576 598584 798112 812364 928416 947758 1083152 1197168 1421637 1624728 1895516 2166304 2394336 2843274 3249456 3791032 5686548 6498912 7582064 11373096 15164128 22746192 45492384