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407250116 = 22713289967
BaseRepresentation
bin11000010001100…
…010010011000100
31001101022110010122
4120101202103010
51313224000431
6104224441112
713043366060
oct3021422304
91041273118
10407250116
11199978049
12b4479198
13664ac600
143c130aa0
1525b46a7b
hex184624c4

407250116 has 72 divisors (see below), whose sum is σ = 892805760. Its totient is φ = 159134976.

The previous prime is 407250101. The next prime is 407250127. The reversal of 407250116 is 611052704.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420665 + ... + 421631.

It is an arithmetic number, because the mean of its divisors is an integer number (12400080).

Almost surely, 2407250116 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 407250116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446402880).

407250116 is an abundant number, since it is smaller than the sum of its proper divisors (485555644).

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

407250116 is a wasteful number, since it uses less digits than its factorization.

407250116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 407250116 is about 20180.4389446811. The cubic root of 407250116 is about 741.2312810419.

The spelling of 407250116 in words is "four hundred seven million, two hundred fifty thousand, one hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 52 89 91 169 178 182 338 356 364 623 676 967 1157 1183 1246 1934 2314 2366 2492 3868 4628 4732 6769 8099 12571 13538 15041 16198 25142 27076 30082 32396 50284 60164 86063 87997 105287 163423 172126 175994 210574 326846 344252 351988 421148 602441 653692 1118819 1143961 1204882 2237638 2287922 2409764 4475276 4575844 7831733 14544647 15663466 29089294 31326932 58178588 101812529 203625058 407250116