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2516476272 = 243174371719
BaseRepresentation
bin1001010111111110…
…0110000101110000
320111101012020110220
42111333212011300
520123204220042
61053412453040
7116234460342
oct22577460560
96441166426
102516476272
111081537962
125a291a180
1331147aa1b
1419c2dd292
15eadd28ec
hex95fe6170

2516476272 has 80 divisors (see below), whose sum is σ = 7043477760. Its totient is φ = 771111936.

The previous prime is 2516476231. The next prime is 2516476283. The reversal of 2516476272 is 2726746152.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 772 + ... + 70947.

It is an arithmetic number, because the mean of its divisors is an integer number (88043472).

Almost surely, 22516476272 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 2516476272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521738880).

2516476272 is an abundant number, since it is smaller than the sum of its proper divisors (4527001488).

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

2516476272 is a wasteful number, since it uses less digits than its factorization.

2516476272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71790 (or 71784 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 2516476272 is about 50164.4921433478. The cubic root of 2516476272 is about 1360.1838476950.

The spelling of 2516476272 in words is "two billion, five hundred sixteen million, four hundred seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 129 136 172 204 258 272 344 408 516 688 731 816 1032 1462 2064 2193 2924 4386 5848 8772 11696 17544 35088 71719 143438 215157 286876 430314 573752 860628 1147504 1219223 1721256 2438446 3083917 3442512 3657669 4876892 6167834 7315338 9251751 9753784 12335668 14630676 18503502 19507568 24671336 29261352 37007004 49342672 52426589 58522704 74014008 104853178 148028016 157279767 209706356 314559534 419412712 629119068 838825424 1258238136 2516476272