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125392428 = 22337473529
BaseRepresentation
bin1110111100101…
…01011000101100
322201221121002000
413132111120230
5224100024203
620235332300
73051550410
oct736253054
9281847060
10125392428
1164865207
1235bb1090
131cc94505
1412920d40
15b01d4a3
hex779562c

125392428 has 96 divisors (see below), whose sum is σ = 379545600. Its totient is φ = 35054208.

The previous prime is 125392387. The next prime is 125392469. The reversal of 125392428 is 824293521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125392387) and next prime (125392469).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125392392 and 125392401.

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, 33768 + ... + 37296.

It is an arithmetic number, because the mean of its divisors is an integer number (3953600).

Almost surely, 2125392428 is an apocalyptic number.

125392428 is a gapful number since it is divisible by the number (18) 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 125392428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189772800).

125392428 is an abundant number, since it is smaller than the sum of its proper divisors (254153172).

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

125392428 is a wasteful number, since it uses less digits than its factorization.

125392428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3588 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 125392428 is about 11197.8760486085. The cubic root of 125392428 is about 500.5226907317.

The spelling of 125392428 in words is "one hundred twenty-five million, three hundred ninety-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 84 94 108 126 141 188 189 252 282 329 378 423 564 658 756 846 987 1269 1316 1692 1974 2538 2961 3529 3948 5076 5922 7058 8883 10587 11844 14116 17766 21174 24703 31761 35532 42348 49406 63522 74109 95283 98812 127044 148218 165863 190566 222327 296436 331726 381132 444654 497589 663452 666981 889308 995178 1161041 1333962 1492767 1990356 2322082 2667924 2985534 3483123 4478301 4644164 5971068 6966246 8956602 10449369 13932492 17913204 20898738 31348107 41797476 62696214 125392428