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68865632 = 2511316311
BaseRepresentation
bin1000001101011…
…00111001100000
311210120201212222
410012230321200
5120112200012
610500010212
71464230303
oct406547140
9153521788
1068865632
1135966850
121b090968
13113623c4
149208b3a
1560a4972
hex41ace60

68865632 has 48 divisors (see below), whose sum is σ = 152699904. Its totient is φ = 30288000.

The previous prime is 68865617. The next prime is 68865647. The reversal of 68865632 is 23656886.

It is an interprime number because it is at equal distance from previous prime (68865617) and next prime (68865647).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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, 7757 + ... + 14067.

It is an arithmetic number, because the mean of its divisors is an integer number (3181248).

Almost surely, 268865632 is an apocalyptic number.

68865632 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68865632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76349952).

68865632 is an abundant number, since it is smaller than the sum of its proper divisors (83834272).

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

68865632 is a wasteful number, since it uses less digits than its factorization.

68865632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6363 (or 6355 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 68865632 is about 8298.5319183576. The cubic root of 68865632 is about 409.8901787957.

The spelling of 68865632 in words is "sixty-eight million, eight hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 6311 10912 12622 25244 50488 69421 100976 138842 195641 201952 277684 391282 555368 782564 1110736 1565128 2152051 2221472 3130256 4304102 6260512 8608204 17216408 34432816 68865632