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125388004 = 22741239457
BaseRepresentation
bin1110111100101…
…00010011100100
322201221101000011
413132110103210
5224044404004
620235300004
73051531460
oct736242344
9281841004
10125388004
1164861955
1235baa604
131cc924b1
141291d4a0
15b01c004
hex77944e4

125388004 has 48 divisors (see below), whose sum is σ = 258531840. Its totient is φ = 52093440.

The previous prime is 125387993. The next prime is 125388007. The reversal of 125388004 is 400883521.

It is not an unprimeable number, because it can be changed into a prime (125388007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274144 + ... + 274600.

It is an arithmetic number, because the mean of its divisors is an integer number (5386080).

Almost surely, 2125388004 is an apocalyptic number.

125388004 is a gapful number since it is divisible by the number (14) 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 125388004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129265920).

125388004 is an abundant number, since it is smaller than the sum of its proper divisors (133143836).

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

125388004 is a wasteful number, since it uses less digits than its factorization.

125388004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 125388004 is about 11197.6785094054. The cubic root of 125388004 is about 500.5168043092.

It can be divided in two parts, 125 and 388004, that added together give a square (388129 = 6232).

The spelling of 125388004 in words is "one hundred twenty-five million, three hundred eighty-eight thousand, four".

Divisors: 1 2 4 7 14 28 41 82 164 239 287 457 478 574 914 956 1148 1673 1828 3199 3346 6398 6692 9799 12796 18737 19598 37474 39196 68593 74948 109223 131159 137186 218446 262318 274372 436892 524636 764561 1529122 3058244 4478143 8956286 17912572 31347001 62694002 125388004