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45426264 = 23313197997
BaseRepresentation
bin1010110101001…
…0011001011000
310011110220010020
42231102121120
543112120024
64301350440
71061055042
oct255223130
9104426106
1045426264
1123707474
1213268420
139546660
146066a92
153ec4979
hex2b52658

45426264 has 128 divisors (see below), whose sum is σ = 131712000. Its totient is φ = 12939264.

The previous prime is 45426259. The next prime is 45426281. The reversal of 45426264 is 46262454.

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, 468264 + ... + 468360.

It is an arithmetic number, because the mean of its divisors is an integer number (1029000).

Almost surely, 245426264 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 45426264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65856000).

45426264 is an abundant number, since it is smaller than the sum of its proper divisors (86285736).

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

45426264 is a wasteful number, since it uses less digits than its factorization.

45426264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 45426264 is about 6739.9008894790. The cubic root of 45426264 is about 356.8088958281.

The spelling of 45426264 in words is "forty-five million, four hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 79 97 104 114 152 156 158 194 228 237 247 291 312 316 388 456 474 494 582 632 741 776 948 988 1027 1164 1261 1482 1501 1843 1896 1976 2054 2328 2522 2964 3002 3081 3686 3783 4108 4503 5044 5529 5928 6004 6162 7372 7566 7663 8216 9006 10088 11058 12008 12324 14744 15132 15326 18012 19513 22116 22989 23959 24648 30264 30652 36024 39026 44232 45978 47918 58539 61304 71877 78052 91956 95836 99619 117078 143754 145597 156104 183912 191672 199238 234156 287508 291194 298857 398476 436791 468312 575016 582388 597714 796952 873582 1164776 1195428 1747164 1892761 2390856 3494328 3785522 5678283 7571044 11356566 15142088 22713132 45426264