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68390592 = 2631723911
BaseRepresentation
bin1000001001110…
…00111011000000
311202200121020220
410010320323000
5120001444332
610441503040
71460211324
oct404707300
9152617226
1068390592
1135671956
121aaa1a80
131122710a
149123984
15600dd2c
hex4138ec0

68390592 has 112 divisors (see below), whose sum is σ = 200143872. Its totient is φ = 20500480.

The previous prime is 68390591. The next prime is 68390599. The reversal of 68390592 is 29509386.

It is a super-2 number, since 2×683905922 = 9354546148220928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68390591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74617 + ... + 75527.

Almost surely, 268390592 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 68390592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100071936).

68390592 is an abundant number, since it is smaller than the sum of its proper divisors (131753280).

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

68390592 is a wasteful number, since it uses less digits than its factorization.

68390592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 68390592 is about 8269.8604583149. The cubic root of 68390592 is about 408.9455195316.

The spelling of 68390592 in words is "sixty-eight million, three hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 136 138 184 192 204 272 276 368 391 408 544 552 736 782 816 911 1088 1104 1173 1472 1564 1632 1822 2208 2346 2733 3128 3264 3644 4416 4692 5466 6256 7288 9384 10932 12512 14576 15487 18768 20953 21864 25024 29152 30974 37536 41906 43728 46461 58304 61948 62859 75072 83812 87456 92922 123896 125718 167624 174912 185844 247792 251436 335248 356201 371688 495584 502872 670496 712402 743376 991168 1005744 1068603 1340992 1424804 1486752 2011488 2137206 2849608 2973504 4022976 4274412 5699216 8548824 11398432 17097648 22796864 34195296 68390592