Search a number
-
+
69382716 = 22313479463
BaseRepresentation
bin1000010001010…
…11001000111100
311211120000012020
410020223020330
5120230221331
610515040140
71501512654
oct410531074
9154500166
1069382716
113618a297
121b2a0050
13114b3880
149301364
156157c96
hex422b23c

69382716 has 48 divisors (see below), whose sum is σ = 178074624. Its totient is φ = 20892096.

The previous prime is 69382711. The next prime is 69382717. The reversal of 69382716 is 61728396.

It is a happy number.

It is a super-2 number, since 2×693827162 = 9627922559073312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69382711) 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, 2601 + ... + 12063.

It is an arithmetic number, because the mean of its divisors is an integer number (3709888).

Almost surely, 269382716 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 69382716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89037312).

69382716 is an abundant number, since it is smaller than the sum of its proper divisors (108691908).

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

69382716 is a wasteful number, since it uses less digits than its factorization.

69382716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9528 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 69382716 is about 8329.6288032541. The cubic root of 69382716 is about 410.9135212704.

The spelling of 69382716 in words is "sixty-nine million, three hundred eighty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1222 1833 2444 3666 7332 9463 18926 28389 37852 56778 113556 123019 246038 369057 444761 492076 738114 889522 1334283 1476228 1779044 2668566 5337132 5781893 11563786 17345679 23127572 34691358 69382716