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45715720 = 23517233779
BaseRepresentation
bin1010111001100…
…1000100001000
310012000121011211
42232121010020
543200400340
64311502504
71063401661
oct256310410
9105017154
1045715720
1123894996
1213387a34
13961832b
146100368
1540305ea
hex2b99108

45715720 has 128 divisors (see below), whose sum is σ = 118195200. Its totient is φ = 15814656.

The previous prime is 45715711. The next prime is 45715727. The reversal of 45715720 is 2751754.

It is not an unprimeable number, because it can be changed into a prime (45715727) 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, 578641 + ... + 578719.

It is an arithmetic number, because the mean of its divisors is an integer number (923400).

Almost surely, 245715720 is an apocalyptic number.

45715720 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 45715720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59097600).

45715720 is an abundant number, since it is smaller than the sum of its proper divisors (72479480).

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

45715720 is a wasteful number, since it uses less digits than its factorization.

45715720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 45715720 is about 6761.3401038552. The cubic root of 45715720 is about 357.5651534960.

The spelling of 45715720 in words is "forty-five million, seven hundred fifteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 37 40 46 68 74 79 85 92 115 136 148 158 170 184 185 230 296 316 340 370 391 395 460 629 632 680 740 782 790 851 920 1258 1343 1480 1564 1580 1702 1817 1955 2516 2686 2923 3128 3145 3160 3404 3634 3910 4255 5032 5372 5846 6290 6715 6808 7268 7820 8510 9085 10744 11692 12580 13430 14467 14536 14615 15640 17020 18170 23384 25160 26860 28934 29230 30889 34040 36340 49691 53720 57868 58460 61778 67229 72335 72680 99382 115736 116920 123556 134458 144670 154445 198764 247112 248455 268916 289340 308890 336145 397528 496910 537832 578680 617780 672290 993820 1142893 1235560 1344580 1987640 2285786 2689160 4571572 5714465 9143144 11428930 22857860 45715720