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679420224 = 26357792
BaseRepresentation
bin101000011111110…
…010000101000000
31202100110010100000
4220133302011000
52342412421344
6151230200000
722556655660
oct5037620500
91670403300
10679420224
1131957351a
1216b653000
13aa9b5102
146633c1a0
153e9a9a69
hex287f2140

679420224 has 252 divisors, whose sum is σ = 2337657504. Its totient is φ = 191662848.

The previous prime is 679420187. The next prime is 679420279. The reversal of 679420224 is 422024976.

679420224 is a `hidden beast` number, since 6 + 7 + 9 + 420 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×6794202242 = 923223681560420352, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8600217 + ... + 8600295.

Almost surely, 2679420224 is an apocalyptic number.

679420224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168828752).

679420224 is an abundant number, since it is smaller than the sum of its proper divisors (1658237280).

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

679420224 is an frugal number, since it uses more digits than its factorization.

679420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 679420224 is about 26065.6905529088. The cubic root of 679420224 is about 879.1159441229.

Multiplying 679420224 by its product of nonzero digits (48384), we get a square (32873068118016 = 57335042).

It can be divided in two parts, 679 and 420224, that added together give a triangular number (420903 = T917).

The spelling of 679420224 in words is "six hundred seventy-nine million, four hundred twenty thousand, two hundred twenty-four".