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68261376 = 293192339
BaseRepresentation
bin1000001000110…
…01011000000000
311202110001000010
410010121120000
5114433331001
610435024520
71456132521
oct404313000
9152401003
1068261376
1135593867
121aa3b140
13111b0361
1490cc848
155ed58d6
hex4119600

68261376 has 80 divisors (see below), whose sum is σ = 191505600. Its totient is φ = 21547008.

The previous prime is 68261353. The next prime is 68261381. The reversal of 68261376 is 67316286.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28015 + ... + 30353.

It is an arithmetic number, because the mean of its divisors is an integer number (2393820).

Almost surely, 268261376 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 68261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95752800).

68261376 is an abundant number, since it is smaller than the sum of its proper divisors (123244224).

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

68261376 is a wasteful number, since it uses less digits than its factorization.

68261376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2363 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 68261376 is about 8262.0442990824. The cubic root of 68261376 is about 408.6878056294.

The spelling of 68261376 in words is "sixty-eight million, two hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2339 2432 3648 4678 4864 7017 7296 9356 9728 14034 14592 18712 28068 29184 37424 44441 56136 74848 88882 112272 133323 149696 177764 224544 266646 299392 355528 449088 533292 598784 711056 898176 1066584 1197568 1422112 1796352 2133168 2844224 3592704 4266336 5688448 8532672 11376896 17065344 22753792 34130688 68261376