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45407712 = 25374197
BaseRepresentation
bin1010110100110…
…1110111100000
310011102221200010
42231031313200
543111021322
64301124520
71060650000
oct255156740
9104387603
1045407712
11236a4539
1213259740
13953b08c
146060000
153ebe20c
hex2b4dde0

45407712 has 120 divisors (see below), whose sum is σ = 139758696. Its totient is φ = 12907776.

The previous prime is 45407671. The next prime is 45407741. The reversal of 45407712 is 21770454.

It is a self number, because there is not a number n which added to its sum of digits gives 45407712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230398 + ... + 230594.

Almost surely, 245407712 is an apocalyptic number.

45407712 is a gapful number since it is divisible by the number (42) 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 45407712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69879348).

45407712 is an abundant number, since it is smaller than the sum of its proper divisors (94350984).

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

45407712 is an equidigital number, since it uses as much as digits as its factorization.

45407712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 45407712 is about 6738.5244675671. The cubic root of 45407712 is about 356.7603158556.

The spelling of 45407712 in words is "forty-five million, four hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 197 224 294 336 343 392 394 588 591 672 686 784 788 1029 1176 1182 1372 1379 1568 1576 2058 2352 2364 2401 2744 2758 3152 4116 4137 4704 4728 4802 5488 5516 6304 7203 8232 8274 9456 9604 9653 10976 11032 14406 16464 16548 18912 19208 19306 22064 28812 28959 32928 33096 38416 38612 44128 57624 57918 66192 67571 76832 77224 115248 115836 132384 135142 154448 202713 230496 231672 270284 308896 405426 463344 472997 540568 810852 926688 945994 1081136 1418991 1621704 1891988 2162272 2837982 3243408 3783976 5675964 6486816 7567952 11351928 15135904 22703856 45407712