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679952 = 24713467
BaseRepresentation
bin10100110000000010000
31021112201102
42212000100
5133224302
622323532
75531240
oct2460020
91245642
10679952
11424949
122895a8
131aa650
14139b20
15d6702
hexa6010

679952 has 40 divisors (see below), whose sum is σ = 1624896. Its totient is φ = 268416.

The previous prime is 679951. The next prime is 679957. The reversal of 679952 is 259976.

It is not an unprimeable number, because it can be changed into a prime (679951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1223 + ... + 1689.

2679952 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 679952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812448).

679952 is an abundant number, since it is smaller than the sum of its proper divisors (944944).

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

679952 is a wasteful number, since it uses less digits than its factorization.

679952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its digits is 34020, while the sum is 38.

The square root of 679952 is about 824.5920203349. The cubic root of 679952 is about 87.9345242982.

The spelling of 679952 in words is "six hundred seventy-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 467 728 934 1456 1868 3269 3736 6071 6538 7472 12142 13076 24284 26152 42497 48568 52304 84994 97136 169988 339976 679952