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125443968 = 2731321933
BaseRepresentation
bin1110111101000…
…01111110000000
322202001012202220
413132201332000
5224103201333
620240411040
73052153566
oct736417600
9282035686
10125443968
116489aa01
1236016a80
131ccb1b00
1412935a36
15b02d8b3
hex77a1f80

125443968 has 96 divisors (see below), whose sum is σ = 361000440. Its totient is φ = 38578176.

The previous prime is 125443963. The next prime is 125443973. The reversal of 125443968 is 869344521.

It is an interprime number because it is at equal distance from previous prime (125443963) and next prime (125443973).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125443961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63930 + ... + 65862.

Almost surely, 2125443968 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 125443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180500220).

125443968 is an abundant number, since it is smaller than the sum of its proper divisors (235556472).

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

125443968 is a wasteful number, since it uses less digits than its factorization.

125443968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1951 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 125443968 is about 11200.1771414563. The cubic root of 125443968 is about 500.5912578860.

The spelling of 125443968 in words is "one hundred twenty-five million, four hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 1933 2028 2496 2704 3866 4056 4992 5408 5799 7732 8112 10816 11598 15464 16224 21632 23196 25129 30928 32448 46392 50258 61856 64896 75387 92784 100516 123712 150774 185568 201032 247424 301548 326677 371136 402064 603096 653354 742272 804128 980031 1206192 1306708 1608256 1960062 2412384 2613416 3216512 3920124 4824768 5226832 7840248 9649536 10453664 15680496 20907328 31360992 41814656 62721984 125443968