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125673472 = 21323229
BaseRepresentation
bin1110111110110…
…10000000000000
322202110212121001
413133122000000
5224133022342
620245341344
73054130651
oct737320000
9282425531
10125673472
1164a37381
1236107854
1320062402
1412995528
15b0768b7
hex77da000

125673472 has 84 divisors (see below), whose sum is σ = 271793970. Its totient is φ = 58032128.

The previous prime is 125673461. The next prime is 125673517. The reversal of 125673472 is 274376521.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 106172416 + 19501056 = 10304^2 + 4416^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4333554 + ... + 4333582.

Almost surely, 2125673472 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 125673472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135896985).

125673472 is an abundant number, since it is smaller than the sum of its proper divisors (146120498).

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

125673472 is an frugal number, since it uses more digits than its factorization.

125673472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 54 counting only the distinct ones).

The product of its digits is 70560, while the sum is 37.

The square root of 125673472 is about 11210.4180118317. The cubic root of 125673472 is about 500.8963548026.

The spelling of 125673472 in words is "one hundred twenty-five million, six hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 128 184 232 256 368 464 512 529 667 736 928 1024 1058 1334 1472 1856 2048 2116 2668 2944 3712 4096 4232 5336 5888 7424 8192 8464 10672 11776 14848 15341 16928 21344 23552 29696 30682 33856 42688 47104 59392 61364 67712 85376 94208 118784 122728 135424 170752 188416 237568 245456 270848 341504 490912 541696 683008 981824 1083392 1366016 1963648 2166784 2732032 3927296 4333568 5464064 7854592 15709184 31418368 62836736 125673472