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68686576 = 2473173271
BaseRepresentation
bin1000001100000…
…01001011110000
311210020122021021
410012001023300
5120040432301
610452105224
71462553260
oct406011360
9153218237
1068686576
1135854272
121b005214
13112cba5a
14919d7a0
15606b8a1
hex41812f0

68686576 has 80 divisors (see below), whose sum is σ = 159735808. Its totient is φ = 27993600.

The previous prime is 68686559. The next prime is 68686627. The reversal of 68686576 is 67568686.

Its product of digits (2903040) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253321 + ... + 253591.

Almost surely, 268686576 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 68686576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79867904).

68686576 is an abundant number, since it is smaller than the sum of its proper divisors (91049232).

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

68686576 is a wasteful number, since it uses less digits than its factorization.

68686576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The square root of 68686576 is about 8287.7364822972. The cubic root of 68686576 is about 409.5346216758.

The spelling of 68686576 in words is "sixty-eight million, six hundred eighty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 73 112 124 146 217 248 271 292 434 496 511 542 584 868 1022 1084 1168 1736 1897 2044 2168 2263 3472 3794 4088 4336 4526 7588 8176 8401 9052 15176 15841 16802 18104 19783 30352 31682 33604 36208 39566 58807 63364 67208 79132 117614 126728 134416 138481 158264 235228 253456 276962 316528 470456 553924 613273 940912 1107848 1226546 2215696 2453092 4292911 4906184 8585822 9812368 17171644 34343288 68686576