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68957152 = 2511227863
BaseRepresentation
bin1000001110000…
…11001111100000
311210202101102121
410013003033200
5120123112102
610501554024
71465061155
oct407031740
9153671377
1068957152
1135a19590
121b115914
1311394c64
14923022c
1560c1b37
hex41c33e0

68957152 has 48 divisors (see below), whose sum is σ = 148925952. Its totient is φ = 31169920.

The previous prime is 68957143. The next prime is 68957153. The reversal of 68957152 is 25175986.

It is a super-2 number, since 2×689571522 = 9510177623902208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68957099 and 68957108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68957153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79473 + ... + 80335.

It is an arithmetic number, because the mean of its divisors is an integer number (3102624).

Almost surely, 268957152 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 68957152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74462976).

68957152 is an abundant number, since it is smaller than the sum of its proper divisors (79968800).

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

68957152 is a wasteful number, since it uses less digits than its factorization.

68957152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1103 counting only the distinct ones).

The product of its digits is 151200, while the sum is 43.

The square root of 68957152 is about 8304.0443158740. The cubic root of 68957152 is about 410.0716749569.

The spelling of 68957152 in words is "sixty-eight million, nine hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 227 352 454 863 908 1726 1816 2497 3452 3632 4994 6904 7264 9493 9988 13808 18986 19976 27616 37972 39952 75944 79904 151888 195901 303776 391802 783604 1567208 2154911 3134416 4309822 6268832 8619644 17239288 34478576 68957152