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125971352 = 23133141953
BaseRepresentation
bin1111000001000…
…10101110011000
322210001000012122
413200202232120
5224222040402
620300000412
73056511263
oct740425630
9283030178
10125971352
1165120161
1236230108
1320137b80
1412a31cda
15b0d4ca2
hex7822b98

125971352 has 64 divisors (see below), whose sum is σ = 269256960. Its totient is φ = 54835200.

The previous prime is 125971337. The next prime is 125971357. The reversal of 125971352 is 253179521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125971357) 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, 131708 + ... + 132660.

It is an arithmetic number, because the mean of its divisors is an integer number (4207140).

Almost surely, 2125971352 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 125971352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134628480).

125971352 is an abundant number, since it is smaller than the sum of its proper divisors (143285608).

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

125971352 is a wasteful number, since it uses less digits than its factorization.

125971352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1040 counting only the distinct ones).

The product of its digits is 18900, while the sum is 35.

The square root of 125971352 is about 11223.6960044363. The cubic root of 125971352 is about 501.2917956538.

The spelling of 125971352 in words is "one hundred twenty-five million, nine hundred seventy-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 31 41 52 62 82 104 124 164 248 328 403 533 806 953 1066 1271 1612 1906 2132 2542 3224 3812 4264 5084 7624 10168 12389 16523 24778 29543 33046 39073 49556 59086 66092 78146 99112 118172 132184 156292 236344 312584 384059 507949 768118 1015898 1211263 1536236 2031796 2422526 3072472 4063592 4845052 9690104 15746419 31492838 62985676 125971352