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414056748 = 22375698663
BaseRepresentation
bin11000101011100…
…000000100101100
31001212010021002010
4120223200010230
51321444303443
6105030401220
713155265350
oct3053400454
91055107063
10414056748
111a27a6a66
12b6800210
1367a237c1
143cdc3460
152653d733
hex18ae012c

414056748 has 48 divisors (see below), whose sum is σ = 1106219520. Its totient is φ = 118080384.

The previous prime is 414056737. The next prime is 414056771. The reversal of 414056748 is 847650414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43465 + ... + 52127.

It is an arithmetic number, because the mean of its divisors is an integer number (23046240).

Almost surely, 2414056748 is an apocalyptic number.

It is an amenable number.

414056748 is an abundant number, since it is smaller than the sum of its proper divisors (692162772).

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

414056748 is a wasteful number, since it uses less digits than its factorization.

414056748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 414056748 is about 20348.3844076133. The cubic root of 414056748 is about 745.3380433677.

The spelling of 414056748 in words is "four hundred fourteen million, fifty-six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 569 1138 1707 2276 3414 3983 6828 7966 8663 11949 15932 17326 23898 25989 34652 47796 51978 60641 103956 121282 181923 242564 363846 727692 4929247 9858494 14787741 19716988 29575482 34504729 59150964 69009458 103514187 138018916 207028374 414056748