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68251456 = 2671311719
BaseRepresentation
bin1000001000101…
…10111101000000
311202102112101201
410010112331000
5114433021311
610434510544
71456061560
oct404267500
9152375351
1068251456
1135587369
121aa35454
13111a89a0
1490c8da0
155ed29c1
hex4116f40

68251456 has 56 divisors (see below), whose sum is σ = 166705280. Its totient is φ = 26998272.

The previous prime is 68251453. The next prime is 68251489. The reversal of 68251456 is 65415286.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×682514562 = 9316522492239872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68251453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 11683.

It is an arithmetic number, because the mean of its divisors is an integer number (2976880).

Almost surely, 268251456 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 68251456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83352640).

68251456 is an abundant number, since it is smaller than the sum of its proper divisors (98453824).

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

68251456 is a wasteful number, since it uses less digits than its factorization.

68251456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11751 (or 11741 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 68251456 is about 8261.4439415879. The cubic root of 68251456 is about 408.6680073204.

It can be divided in two parts, 6825 and 1456, that added together give a square (8281 = 912).

The spelling of 68251456 in words is "sixty-eight million, two hundred fifty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 11719 23438 46876 82033 93752 152347 164066 187504 304694 328132 375008 609388 656264 750016 1066429 1218776 1312528 2132858 2437552 2625056 4265716 4875104 5250112 8531432 9750208 17062864 34125728 68251456