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45622720 = 2651113997
BaseRepresentation
bin1010111000001…
…0010111000000
310011211212121101
42232002113000
543134411340
64305504144
71062533563
oct256022700
9104755541
1045622720
1123831030
1213342054
1395b4bc0
1460b84da
154012c9a
hex2b825c0

45622720 has 112 divisors (see below), whose sum is σ = 127759968. Its totient is φ = 15298560.

The previous prime is 45622673. The next prime is 45622721. The reversal of 45622720 is 2722654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45622721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45262 + ... + 46258.

It is an arithmetic number, because the mean of its divisors is an integer number (1140714).

Almost surely, 245622720 is an apocalyptic number.

45622720 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 45622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63879984).

45622720 is an abundant number, since it is smaller than the sum of its proper divisors (82137248).

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

45622720 is a wasteful number, since it uses less digits than its factorization.

45622720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 45622720 is about 6754.4592677727. The cubic root of 45622720 is about 357.3225226303.

The spelling of 45622720 in words is "forty-five million, six hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 130 143 160 176 208 220 260 286 320 352 416 440 520 572 704 715 832 880 997 1040 1144 1430 1760 1994 2080 2288 2860 3520 3988 4160 4576 4985 5720 7976 9152 9970 10967 11440 12961 15952 19940 21934 22880 25922 31904 39880 43868 45760 51844 54835 63808 64805 79760 87736 103688 109670 129610 142571 159520 175472 207376 219340 259220 285142 319040 350944 414752 438680 518440 570284 701888 712855 829504 877360 1036880 1140568 1425710 1754720 2073760 2281136 2851420 3509440 4147520 4562272 5702840 9124544 11405680 22811360 45622720