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125084412 = 22341572459
BaseRepresentation
bin1110111010010…
…10001011111100
322201100221120000
413131022023330
5224010200122
620224554300
73046125405
oct735121374
9281327500
10125084412
1164674852
1235a82990
131cbb725b
14128809ac
15aeac0ac
hex774a2fc

125084412 has 60 divisors (see below), whose sum is σ = 329211960. Its totient is φ = 41412384.

The previous prime is 125084371. The next prime is 125084423. The reversal of 125084412 is 214480521.

It is a super-2 number, since 2×1250844122 = 31292220250771488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 49639 + ... + 52097.

It is an arithmetic number, because the mean of its divisors is an integer number (5486866).

Almost surely, 2125084412 is an apocalyptic number.

125084412 is a gapful number since it is divisible by the number (12) 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 125084412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164605980).

125084412 is an abundant number, since it is smaller than the sum of its proper divisors (204127548).

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

125084412 is a wasteful number, since it uses less digits than its factorization.

125084412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 125084412 is about 11184.1142698025. The cubic root of 125084412 is about 500.1125240081.

The spelling of 125084412 in words is "one hundred twenty-five million, eighty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 314 324 471 628 942 1413 1884 2459 2826 4239 4918 5652 7377 8478 9836 12717 14754 16956 22131 25434 29508 44262 50868 66393 88524 132786 199179 265572 386063 398358 772126 796716 1158189 1544252 2316378 3474567 4632756 6949134 10423701 13898268 20847402 31271103 41694804 62542206 125084412