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125732838 = 23711318779
BaseRepresentation
bin1110111111010…
…00011111100110
322202120220000210
413133220133212
5224141422323
620250520250
73054466020
oct737503746
9282526023
10125732838
1164a77a40
1236136086
132008343a
14129ad010
15b089293
hex77e87e6

125732838 has 64 divisors (see below), whose sum is σ = 323665920. Its totient is φ = 31600800.

The previous prime is 125732813. The next prime is 125732843. The reversal of 125732838 is 838237521.

It is a junction number, because it is equal to n+sod(n) for n = 125732796 and 125732805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9933 + ... + 18711.

It is an arithmetic number, because the mean of its divisors is an integer number (5057280).

Almost surely, 2125732838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125732838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161832960).

125732838 is an abundant number, since it is smaller than the sum of its proper divisors (197933082).

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

125732838 is a wasteful number, since it uses less digits than its factorization.

125732838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8833.

The product of its digits is 80640, while the sum is 39.

The square root of 125732838 is about 11213.0655041340. The cubic root of 125732838 is about 500.9752140120.

The spelling of 125732838 in words is "one hundred twenty-five million, seven hundred thirty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 434 462 651 682 1023 1302 2046 2387 4774 7161 8779 14322 17558 26337 52674 61453 96569 122906 184359 193138 272149 289707 368718 544298 579414 675983 816447 1351966 1632894 1905043 2027949 2993639 3810086 4055898 5715129 5987278 8980917 11430258 17961834 20955473 41910946 62866419 125732838