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45702640 = 2453971439
BaseRepresentation
bin1010111001010…
…1110111110000
310011222221020101
42232111313300
543144441030
64311322144
71063315564
oct256256760
9104887211
1045702640
1123886085
1213380354
1396123a9
1460d96a4
15402b7ca
hex2b95df0

45702640 has 40 divisors (see below), whose sum is σ = 106600320. Its totient is φ = 18222336.

The previous prime is 45702623. The next prime is 45702661. The reversal of 45702640 is 4620754.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 45702599 and 45702608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31041 + ... + 32479.

It is an arithmetic number, because the mean of its divisors is an integer number (2665008).

Almost surely, 245702640 is an apocalyptic number.

45702640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45702640 is an abundant number, since it is smaller than the sum of its proper divisors (60897680).

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

45702640 is a wasteful number, since it uses less digits than its factorization.

45702640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1843 counting only the distinct ones).

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

The square root of 45702640 is about 6760.3727707871. The cubic root of 45702640 is about 357.5310485365.

The spelling of 45702640 in words is "forty-five million, seven hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 397 794 1439 1588 1985 2878 3176 3970 5756 6352 7195 7940 11512 14390 15880 23024 28780 31760 57560 115120 571283 1142566 2285132 2856415 4570264 5712830 9140528 11425660 22851320 45702640