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125538952 = 23711297191
BaseRepresentation
bin1110111101110…
…01001010001000
322202020001001211
413132321022020
5224114221302
620242422504
73053030530
oct736711210
9282201054
10125538952
1164955300
1236061a34
1320016106
141295c4c0
15b04bad7
hex77b9288

125538952 has 96 divisors (see below), whose sum is σ = 300303360. Its totient is φ = 48153600.

The previous prime is 125538937. The next prime is 125538953. The reversal of 125538952 is 259835521.

It is not an unprimeable number, because it can be changed into a prime (125538953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657177 + ... + 657367.

It is an arithmetic number, because the mean of its divisors is an integer number (3128160).

Almost surely, 2125538952 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 125538952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150151680).

125538952 is an abundant number, since it is smaller than the sum of its proper divisors (174764408).

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

125538952 is a wasteful number, since it uses less digits than its factorization.

125538952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its digits is 108000, while the sum is 40.

The square root of 125538952 is about 11204.4166291691. The cubic root of 125538952 is about 500.7175723539.

The spelling of 125538952 in words is "one hundred twenty-five million, five hundred thirty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 97 121 154 191 194 242 308 382 388 484 616 679 764 776 847 968 1067 1337 1358 1528 1694 2101 2134 2674 2716 3388 4202 4268 5348 5432 6776 7469 8404 8536 10696 11737 14707 14938 16808 18527 23111 23474 29414 29876 37054 46222 46948 58828 59752 74108 82159 92444 93896 117656 129689 148216 161777 164318 184888 203797 259378 323554 328636 407594 518756 647108 657272 815188 1037512 1294216 1426579 1630376 2241767 2853158 4483534 5706316 8967068 11412632 15692369 17934136 31384738 62769476 125538952