Search a number
-
+
68609052 = 22331374637
BaseRepresentation
bin1000001011011…
…10010000011100
311210002200221000
410011232100130
5120030442202
610450310300
71462111251
oct405562034
9153080830
1068609052
1135800aa6
121ab88390
13112a2695
14917d428
15605391c
hex416e41c

68609052 has 48 divisors (see below), whose sum is σ = 179212320. Its totient is φ = 22697856.

The previous prime is 68609033. The next prime is 68609053. The reversal of 68609052 is 25090686.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68608998 and 68609016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68609053) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12478 + ... + 17114.

It is an arithmetic number, because the mean of its divisors is an integer number (3733590).

Almost surely, 268609052 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 68609052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89606160).

68609052 is an abundant number, since it is smaller than the sum of its proper divisors (110603268).

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

68609052 is a wasteful number, since it uses less digits than its factorization.

68609052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 68609052 is about 8283.0581309079. The cubic root of 68609052 is about 409.3804881420.

The spelling of 68609052 in words is "sixty-eight million, six hundred nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 822 1233 1644 2466 3699 4637 4932 7398 9274 13911 14796 18548 27822 41733 55644 83466 125199 166932 250398 500796 635269 1270538 1905807 2541076 3811614 5717421 7623228 11434842 17152263 22869684 34304526 68609052