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125667328 = 211431427
BaseRepresentation
bin1110111110110…
…00100000000000
322202110120011111
413133120200000
5224132323303
620245253104
73054104023
oct737304000
9282416144
10125667328
1164a327a6
1236104194
132005c687
14129931ba
15b074b6d
hex77d8800

125667328 has 48 divisors (see below), whose sum is σ = 257297040. Its totient is φ = 61329408.

The previous prime is 125667323. The next prime is 125667329. The reversal of 125667328 is 823766521.

It is not an unprimeable number, because it can be changed into a prime (125667323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87351 + ... + 88777.

It is an arithmetic number, because the mean of its divisors is an integer number (5360355).

Almost surely, 2125667328 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 125667328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128648520).

125667328 is an abundant number, since it is smaller than the sum of its proper divisors (131629712).

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

125667328 is an equidigital number, since it uses as much as digits as its factorization.

125667328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1472 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 125667328 is about 11210.1439776659. The cubic root of 125667328 is about 500.8881919625. Note that the first 3 decimals are identical.

The spelling of 125667328 in words is "one hundred twenty-five million, six hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1376 1427 2048 2752 2854 5504 5708 11008 11416 22016 22832 44032 45664 61361 88064 91328 122722 182656 245444 365312 490888 730624 981776 1461248 1963552 2922496 3927104 7854208 15708416 31416832 62833664 125667328