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679985152 = 21473112
BaseRepresentation
bin101000100001111…
…100000000000000
31202101111211021021
4220201330000000
52343034011102
6151250235224
722564531000
oct5041740000
91671454237
10679985152
11319919a00
1216b885b14
13aab522a2
1466448000
153ea6c137
hex2887c000

679985152 has 180 divisors, whose sum is σ = 1743204400. Its totient is φ = 264929280.

The previous prime is 679985113. The next prime is 679985171. The reversal of 679985152 is 251589976.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

Its product of digits (1360800) is a multiple of the sum of its prime divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 679985152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61816827 + ... + 61816837.

Almost surely, 2679985152 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 679985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871602200).

679985152 is an abundant number, since it is smaller than the sum of its proper divisors (1063219248).

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

679985152 is an frugal number, since it uses more digits than its factorization.

679985152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 20 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 52.

The square root of 679985152 is about 26076.5249218526. The cubic root of 679985152 is about 879.3595339804.

The spelling of 679985152 in words is "six hundred seventy-nine million, nine hundred eighty-five thousand, one hundred fifty-two".