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68772576 = 2532331147
BaseRepresentation
bin1000001100101…
…10001011100000
311210102000020110
410012112023200
5120101210301
610454011320
71463362065
oct406261340
9153360213
1068772576
1135902944
121b046b40
131132bc42
1491c2c6c
1560870d6
hex41962e0

68772576 has 48 divisors (see below), whose sum is σ = 188383104. Its totient is φ = 21926784.

The previous prime is 68772563. The next prime is 68772577. The reversal of 68772576 is 67527786.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68772577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13366 + ... + 17781.

It is an arithmetic number, because the mean of its divisors is an integer number (3924648).

Almost surely, 268772576 is an apocalyptic number.

It is an amenable number.

68772576 is an abundant number, since it is smaller than the sum of its proper divisors (119610528).

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

68772576 is a wasteful number, since it uses less digits than its factorization.

68772576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31183 (or 31175 counting only the distinct ones).

The product of its digits is 987840, while the sum is 48.

The square root of 68772576 is about 8292.9232481677. The cubic root of 68772576 is about 409.7054715978.

It can be divided in two parts, 6877 and 2576, that added together give a triangular number (9453 = T137).

The spelling of 68772576 in words is "sixty-eight million, seven hundred seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 31147 62294 93441 124588 186882 249176 373764 498352 716381 747528 996704 1432762 1495056 2149143 2865524 2990112 4298286 5731048 8596572 11462096 17193144 22924192 34386288 68772576