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125364352 = 272397439
BaseRepresentation
bin1110111100011…
…10100010000000
322201220011120011
413132032202000
5224043124402
620234554304
73051402511
oct736164200
9281804504
10125364352
1164846103
1235b98994
131cc847b9
1412914a08
15b014ed7
hex778e880

125364352 has 64 divisors (see below), whose sum is σ = 263894400. Its totient is φ = 59203584.

The previous prime is 125364319. The next prime is 125364353. The reversal of 125364352 is 253463521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (125364353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285349 + ... + 285787.

It is an arithmetic number, because the mean of its divisors is an integer number (4123350).

Almost surely, 2125364352 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 125364352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131947200).

125364352 is an abundant number, since it is smaller than the sum of its proper divisors (138530048).

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

125364352 is an equidigital number, since it uses as much as digits as its factorization.

125364352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 561 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The square root of 125364352 is about 11196.6223478333. The cubic root of 125364352 is about 500.4853314211.

The spelling of 125364352 in words is "one hundred twenty-five million, three hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 97 128 184 194 368 388 439 736 776 878 1472 1552 1756 2231 2944 3104 3512 4462 6208 7024 8924 10097 12416 14048 17848 20194 28096 35696 40388 42583 56192 71392 80776 85166 142784 161552 170332 285568 323104 340664 646208 681328 979409 1292416 1362656 1958818 2725312 3917636 5450624 7835272 15670544 31341088 62682176 125364352