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68251584 = 2633111467
BaseRepresentation
bin1000001000101…
…10111111000000
311202102112120110
410010112333000
5114433022314
610434511320
71456062132
oct404267700
9152375513
1068251584
1135587475
121aa35540
13111a8a6b
1490c9052
155ed2a59
hex4116fc0

68251584 has 56 divisors (see below), whose sum is σ = 186423808. Its totient is φ = 22014720.

The previous prime is 68251571. The next prime is 68251597. The reversal of 68251584 is 48515286.

It is an interprime number because it is at equal distance from previous prime (68251571) and next prime (68251597).

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, 219 + ... + 11685.

Almost surely, 268251584 is an apocalyptic number.

68251584 is a gapful number since it is divisible by the number (64) 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 68251584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93211904).

68251584 is an abundant number, since it is smaller than the sum of its proper divisors (118172224).

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

68251584 is a wasteful number, since it uses less digits than its factorization.

68251584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11513 (or 11503 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 68251584 is about 8261.4516884141. The cubic root of 68251584 is about 408.6682627947.

The spelling of 68251584 in words is "sixty-eight million, two hundred fifty-one thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 11467 22934 34401 45868 68802 91736 137604 183472 275208 355477 366944 550416 710954 733888 1066431 1100832 1421908 2132862 2201664 2843816 4265724 5687632 8531448 11375264 17062896 22750528 34125792 68251584