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125345352 = 233112172539
BaseRepresentation
bin1110111100010…
…01111001001000
322201212012111110
413132021321020
5224042022402
620234330320
73051263226
oct736117110
9281765443
10125345352
1164832900
1235b899a0
131cc78c62
141290bb16
15b00e56c
hex7789e48

125345352 has 96 divisors (see below), whose sum is σ = 364845600. Its totient is φ = 35735040.

The previous prime is 125345347. The next prime is 125345383. The reversal of 125345352 is 253543521.

It is a super-2 number, since 2×1253453522 = 31422914536007808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48099 + ... + 50637.

It is an arithmetic number, because the mean of its divisors is an integer number (3800475).

Almost surely, 2125345352 is an apocalyptic number.

125345352 is a gapful number since it is divisible by the number (12) 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 125345352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182422800).

125345352 is an abundant number, since it is smaller than the sum of its proper divisors (239500248).

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

125345352 is a wasteful number, since it uses less digits than its factorization.

125345352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2572 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 125345352 is about 11195.7738455187. The cubic root of 125345352 is about 500.4600459190.

Adding to 125345352 its reverse (253543521), we get a palindrome (378888873).

The spelling of 125345352 in words is "one hundred twenty-five million, three hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 363 374 408 484 561 726 748 968 1122 1452 1496 2057 2244 2539 2904 4114 4488 5078 6171 7617 8228 10156 12342 15234 16456 20312 24684 27929 30468 43163 49368 55858 60936 83787 86326 111716 129489 167574 172652 223432 258978 307219 335148 345304 474793 517956 614438 670296 921657 949586 1035912 1228876 1424379 1843314 1899172 2457752 2848758 3686628 3798344 5222723 5697516 7373256 10445446 11395032 15668169 20890892 31336338 41781784 62672676 125345352