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45796920 = 23351331947
BaseRepresentation
bin1010111010110…
…0111000111000
310012011201120020
42232230320320
543211000140
64313330440
71064160501
oct256547070
9105151506
1045796920
112393a9a4
1213406a20
139646290
146121ba8
1540496d0
hex2bace38

45796920 has 128 divisors (see below), whose sum is σ = 152893440. Its totient is φ = 10897920.

The previous prime is 45796903. The next prime is 45796931. The reversal of 45796920 is 2969754.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47887 + ... + 48833.

It is an arithmetic number, because the mean of its divisors is an integer number (1194480).

Almost surely, 245796920 is an apocalyptic number.

45796920 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 45796920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76446720).

45796920 is an abundant number, since it is smaller than the sum of its proper divisors (107096520).

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

45796920 is a wasteful number, since it uses less digits than its factorization.

45796920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 45796920 is about 6767.3421666116. The cubic root of 45796920 is about 357.7767300042.

The spelling of 45796920 in words is "forty-five million, seven hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 947 1209 1240 1560 1612 1860 1894 2015 2418 2841 3224 3720 3788 4030 4735 4836 5682 6045 7576 8060 9470 9672 11364 12090 12311 14205 16120 18940 22728 24180 24622 28410 29357 36933 37880 48360 49244 56820 58714 61555 73866 88071 98488 113640 117428 123110 146785 147732 176142 184665 234856 246220 293570 295464 352284 369330 381641 440355 492440 587140 704568 738660 763282 880710 1144923 1174280 1477320 1526564 1761420 1908205 2289846 3053128 3522840 3816410 4579692 5724615 7632820 9159384 11449230 15265640 22898460 45796920