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516472740 = 2233572131149
BaseRepresentation
bin11110110010001…
…011111110100100
31022222211112102000
4132302023332210
52024204111430
6123125445300
715540642300
oct3662137644
91288745360
10516472740
11245598683
12124b70830
1383001b94
144c842d00
153051de60
hex1ec8bfa4

516472740 has 288 divisors, whose sum is σ = 1896048000. Its totient is φ = 116363520.

The previous prime is 516472739. The next prime is 516472769. The reversal of 516472740 is 47274615.

516472740 is a `hidden beast` number, since 5 + 1 + 647 + 2 + 7 + 4 + 0 = 666.

516472740 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 516472695 and 516472704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3466186 + ... + 3466334.

It is an arithmetic number, because the mean of its divisors is an integer number (6583500).

Almost surely, 2516472740 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 516472740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948024000).

516472740 is an abundant number, since it is smaller than the sum of its proper divisors (1379575260).

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

516472740 is a wasteful number, since it uses less digits than its factorization.

516472740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 516472740 is about 22726.0366100207. The cubic root of 516472740 is about 802.3228012987.

The spelling of 516472740 in words is "five hundred sixteen million, four hundred seventy-two thousand, seven hundred forty".