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68248768 = 26733109
BaseRepresentation
bin1000001000101…
…10010011000000
311202102101201011
410010112103000
5114432430033
610434450304
71456051000
oct404262300
9152371634
1068248768
1135585345
121aa33994
13111a76b3
1490c8000
155ed1ccd
hex41164c0

68248768 has 56 divisors (see below), whose sum is σ = 157988000. Its totient is φ = 29240064.

The previous prime is 68248753. The next prime is 68248769. The reversal of 68248768 is 86784286.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (68248769) 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, 20398 + ... + 23506.

Almost surely, 268248768 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 68248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78994000).

68248768 is an abundant number, since it is smaller than the sum of its proper divisors (89739232).

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

68248768 is an equidigital number, since it uses as much as digits as its factorization.

68248768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3118 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The square root of 68248768 is about 8261.2812565606. The cubic root of 68248768 is about 408.6626422870.

The spelling of 68248768 in words is "sixty-eight million, two hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2744 3109 3136 5488 6218 10976 12436 21763 21952 24872 43526 49744 87052 99488 152341 174104 198976 304682 348208 609364 696416 1066387 1218728 1392832 2132774 2437456 4265548 4874912 8531096 9749824 17062192 34124384 68248768