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68585376 = 2535912109
BaseRepresentation
bin1000001011010…
…00011110100000
311210001111110010
410011220132200
5120024213001
610450004520
71461652236
oct405503640
9153044403
1068585376
1135795232
121ab76740
1311294982
149174956
15604b8d6
hex41687a0

68585376 has 48 divisors (see below), whose sum is σ = 183103200. Its totient is φ = 22472448.

The previous prime is 68585371. The next prime is 68585393. The reversal of 68585376 is 67358586.

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

It is a super-2 number, since 2×685853762 = 9407907602122752, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (68585371) 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, 391 + ... + 11718.

It is an arithmetic number, because the mean of its divisors is an integer number (3814650).

Almost surely, 268585376 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 68585376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91551600).

68585376 is an abundant number, since it is smaller than the sum of its proper divisors (114517824).

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

68585376 is a wasteful number, since it uses less digits than its factorization.

68585376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12181 (or 12173 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 68585376 is about 8281.6288252976. The cubic root of 68585376 is about 409.3333922788. Note that the first 4 decimals are identical.

The spelling of 68585376 in words is "sixty-eight million, five hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 12109 24218 36327 48436 72654 96872 145308 193744 290616 387488 581232 714431 1162464 1428862 2143293 2857724 4286586 5715448 8573172 11430896 17146344 22861792 34292688 68585376