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689504 = 2529743
BaseRepresentation
bin10101000010101100000
31022000211012
42220111200
5134031004
622440052
75601134
oct2502540
91260735
10689504
11431042
12293028
131b1aba
1413d3c4
15d946e
hexa8560

689504 has 24 divisors (see below), whose sum is σ = 1406160. Its totient is φ = 332416.

The previous prime is 689467. The next prime is 689509. The reversal of 689504 is 405986.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 557 + ... + 1299.

It is an arithmetic number, because the mean of its divisors is an integer number (58590).

2689504 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 689504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703080).

689504 is an abundant number, since it is smaller than the sum of its proper divisors (716656).

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

689504 is a wasteful number, since it uses less digits than its factorization.

689504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 689504 is about 830.3637757032. The cubic root of 689504 is about 88.3443805653.

The spelling of 689504 in words is "six hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 743 928 1486 2972 5944 11888 21547 23776 43094 86188 172376 344752 689504