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125532264 = 233111379463
BaseRepresentation
bin1110111101101…
…11100001101000
322202012200220010
413132313201220
5224114013024
620242331520
73053002164
oct736674150
9282180803
10125532264
1164950280
1236059ba0
1320013060
1412959ca4
15b049b29
hex77b7868

125532264 has 128 divisors (see below), whose sum is σ = 374169600. Its totient is φ = 34594560.

The previous prime is 125532263. The next prime is 125532269. The reversal of 125532264 is 462235521.

It is not an unprimeable number, because it can be changed into a prime (125532263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270897 + ... + 271359.

It is an arithmetic number, because the mean of its divisors is an integer number (2923200).

Almost surely, 2125532264 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 125532264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187084800).

125532264 is an abundant number, since it is smaller than the sum of its proper divisors (248637336).

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

125532264 is a wasteful number, since it uses less digits than its factorization.

125532264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 571 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 125532264 is about 11204.1181714582. The cubic root of 125532264 is about 500.7086804029.

Adding to 125532264 its reverse (462235521), we get a palindrome (587767785).

The spelling of 125532264 in words is "one hundred twenty-five million, five hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 79 88 104 132 143 156 158 237 264 286 312 316 429 463 474 572 632 858 869 926 948 1027 1144 1389 1716 1738 1852 1896 2054 2607 2778 3081 3432 3476 3704 4108 5093 5214 5556 6019 6162 6952 8216 10186 10428 11112 11297 12038 12324 15279 18057 20372 20856 22594 24076 24648 30558 33891 36114 36577 40744 45188 48152 61116 66209 67782 72228 73154 90376 109731 122232 132418 135564 144456 146308 198627 219462 264836 271128 292616 397254 402347 438924 475501 529672 794508 804694 877848 951002 1207041 1426503 1589016 1609388 1902004 2414082 2853006 3218776 3804008 4828164 5230511 5706012 9656328 10461022 11412024 15691533 20922044 31383066 41844088 62766132 125532264