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68257152 = 2732193307
BaseRepresentation
bin1000001000110…
…00010110000000
311202102211012200
410010120112000
5114433212102
610434553200
71456114305
oct404302600
9152384180
1068257152
1135590677
121aa38800
13111ab462
1490cb0ac
155ed451c
hex4118580

68257152 has 96 divisors (see below), whose sum is σ = 198077880. Its totient is φ = 22560768.

The previous prime is 68257129. The next prime is 68257153. The reversal of 68257152 is 25175286.

It is a happy number.

68257152 is a `hidden beast` number, since 6 + 82 + 571 + 5 + 2 = 666.

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

It is a super-2 number, since 2×682571522 = 9318077598302208, which contains 22 as substring.

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 (68257153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222183 + ... + 222489.

Almost surely, 268257152 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 68257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99038940).

68257152 is an abundant number, since it is smaller than the sum of its proper divisors (129820728).

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

68257152 is a wasteful number, since it uses less digits than its factorization.

68257152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 505 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 68257152 is about 8261.7886683212. The cubic root of 68257152 is about 408.6793756162.

The spelling of 68257152 in words is "sixty-eight million, two hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 193 288 307 384 386 576 579 614 772 921 1152 1158 1228 1544 1737 1842 2316 2456 2763 3088 3474 3684 4632 4912 5526 6176 6948 7368 9264 9824 11052 12352 13896 14736 18528 19648 22104 24704 27792 29472 37056 39296 44208 55584 58944 59251 74112 88416 111168 117888 118502 176832 177753 222336 237004 353664 355506 474008 533259 711012 948016 1066518 1422024 1896032 2133036 2844048 3792064 4266072 5688096 7584128 8532144 11376192 17064288 22752384 34128576 68257152