Search a number
-
+
479172096 = 29321319421
BaseRepresentation
bin11100100011111…
…001011000000000
31020101122110112200
4130203321120000
51440132001341
6115314153200
714605616124
oct3443713000
91211573480
10479172096
112265310a7
12114582800
1378371bb0
14478d3584
152c101db6
hex1c8f9600

479172096 has 240 divisors, whose sum is σ = 1571409840. Its totient is φ = 139345920.

The previous prime is 479172049. The next prime is 479172103. The reversal of 479172096 is 690271974.

479172096 is a `hidden beast` number, since 479 + 172 + 0 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1137966 + ... + 1138386.

It is an arithmetic number, because the mean of its divisors is an integer number (6547541).

Almost surely, 2479172096 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 479172096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785704920).

479172096 is an abundant number, since it is smaller than the sum of its proper divisors (1092237744).

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

479172096 is a wasteful number, since it uses less digits than its factorization.

479172096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 479172096 is about 21889.9999086341. Note that the first 4 decimals coincide. The cubic root of 479172096 is about 782.5231115944.

Subtracting 479172096 from its reverse (690271974), we obtain a triangular number (211099878 = T20547).

The spelling of 479172096 in words is "four hundred seventy-nine million, one hundred seventy-two thousand, ninety-six".