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125544672 = 253211231723
BaseRepresentation
bin1110111101110…
…10100011100000
322202020022220200
413132322203200
5224114412142
620242505200
73053053311
oct736724340
9282208820
10125544672
1164959630
1236065200
13200188b6
1412960608
15b04d64c
hex77ba8e0

125544672 has 144 divisors (see below), whose sum is σ = 406643328. Its totient is φ = 36368640.

The previous prime is 125544641. The next prime is 125544673. The reversal of 125544672 is 276445521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1255446722 = 31522929335175168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125544673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72003 + ... + 73725.

It is an arithmetic number, because the mean of its divisors is an integer number (2823912).

Almost surely, 2125544672 is an apocalyptic number.

125544672 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 125544672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203321664).

125544672 is an abundant number, since it is smaller than the sum of its proper divisors (281098656).

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

125544672 is a wasteful number, since it uses less digits than its factorization.

125544672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1762 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 125544672 is about 11204.6718827461. The cubic root of 125544672 is about 500.7251770613.

The spelling of 125544672 in words is "one hundred twenty-five million, five hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 288 352 368 396 414 506 528 552 736 759 792 828 1012 1056 1104 1518 1584 1656 1723 2024 2208 2277 3036 3168 3312 3446 4048 4554 5169 6072 6624 6892 8096 9108 10338 12144 13784 15507 18216 18953 20676 24288 27568 31014 36432 37906 39629 41352 55136 56859 62028 72864 75812 79258 82704 113718 118887 124056 151624 158516 165408 170577 227436 237774 248112 303248 317032 341154 356661 435919 454872 475548 496224 606496 634064 682308 713322 871838 909744 951096 1268128 1307757 1364616 1426644 1743676 1819488 1902192 2615514 2729232 2853288 3487352 3804384 3923271 5231028 5458464 5706576 6974704 7846542 10462056 11413152 13949408 15693084 20924112 31386168 41848224 62772336 125544672