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45232720 = 24513233161
BaseRepresentation
bin1010110010001…
…1001001010000
310011010001121221
42230203021100
543034421340
64253254424
71056320551
oct254431120
9104101557
1045232720
1123595015
1213194414
1394a9530
146016328
153e8744a
hex2b23250

45232720 has 160 divisors (see below), whose sum is σ = 123992064. Its totient is φ = 15206400.

The previous prime is 45232687. The next prime is 45232729. The reversal of 45232720 is 2723254.

It is a super-4 number, since 4×452327204 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45232729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741490 + ... + 741550.

Almost surely, 245232720 is an apocalyptic number.

45232720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45232720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61996032).

45232720 is an abundant number, since it is smaller than the sum of its proper divisors (78759344).

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

45232720 is a wasteful number, since it uses less digits than its factorization.

45232720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 45232720 is about 6725.5274886064. The cubic root of 45232720 is about 356.3014321968.

Adding to 45232720 its reverse (2723254), we get a palindrome (47955974).

The spelling of 45232720 in words is "forty-five million, two hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 31 40 46 52 61 62 65 80 92 104 115 122 124 130 155 184 208 230 244 248 260 299 305 310 368 403 460 488 496 520 598 610 620 713 793 806 920 976 1040 1196 1220 1240 1403 1426 1495 1586 1612 1840 1891 2015 2392 2440 2480 2806 2852 2990 3172 3224 3565 3782 3965 4030 4784 4880 5612 5704 5980 6344 6448 7015 7130 7564 7930 8060 9269 9455 11224 11408 11960 12688 14030 14260 15128 15860 16120 18239 18538 18910 22448 23920 24583 28060 28520 30256 31720 32240 36478 37076 37820 43493 46345 49166 56120 57040 63440 72956 74152 75640 86986 91195 92690 98332 112240 122915 145912 148304 151280 173972 182390 185380 196664 217465 245830 291824 347944 364780 370760 393328 434930 491660 565409 695888 729560 741520 869860 983320 1130818 1459120 1739720 1966640 2261636 2827045 3479440 4523272 5654090 9046544 11308180 22616360 45232720