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125769728 = 211731283
BaseRepresentation
bin1110111111100…
…01100000000000
322202122202122002
413133301200000
5224144112403
620251403132
73055011410
oct737614000
9282582562
10125769728
1164aa2727
12361534a8
1320097176
14129bc640
15b095188
hex77f1800

125769728 has 96 divisors (see below), whose sum is σ = 297722880. Its totient is φ = 51978240.

The previous prime is 125769719. The next prime is 125769733. The reversal of 125769728 is 827967521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444275 + ... + 444557.

It is an arithmetic number, because the mean of its divisors is an integer number (3101280).

Almost surely, 2125769728 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 125769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148861440).

125769728 is an abundant number, since it is smaller than the sum of its proper divisors (171953152).

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

125769728 is an equidigital number, since it uses as much as digits as its factorization.

125769728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its digits is 423360, while the sum is 47.

The square root of 125769728 is about 11214.7103395496. The cubic root of 125769728 is about 501.0242045775.

The spelling of 125769728 in words is "one hundred twenty-five million, seven hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 283 434 448 496 512 566 868 896 992 1024 1132 1736 1792 1981 1984 2048 2264 3472 3584 3962 3968 4528 6944 7168 7924 7936 8773 9056 13888 14336 15848 15872 17546 18112 27776 31696 31744 35092 36224 55552 61411 63392 63488 70184 72448 111104 122822 126784 140368 144896 222208 245644 253568 280736 289792 444416 491288 507136 561472 579584 982576 1014272 1122944 1965152 2028544 2245888 3930304 4057088 4491776 7860608 8983552 15721216 17967104 31442432 62884864 125769728