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2516943268 = 2272324116217
BaseRepresentation
bin1001011000000101…
…1000000110100100
320111102001222002001
42112001120012210
520123314141033
61053430455044
7116241444010
oct22601300644
96442058061
102516943268
111081826804
125a2b04484
133115b2458
1419c3c1540
15eae75e7d
hex960581a4

2516943268 has 48 divisors (see below), whose sum is σ = 5274872064. Its totient is φ = 1027445760.

The previous prime is 2516943259. The next prime is 2516943287. The reversal of 2516943268 is 8623496152.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147096 + ... + 163312.

It is an arithmetic number, because the mean of its divisors is an integer number (109893168).

Almost surely, 22516943268 is an apocalyptic number.

2516943268 is a gapful number since it is divisible by the number (28) 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 2516943268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637436032).

2516943268 is an abundant number, since it is smaller than the sum of its proper divisors (2757928796).

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

2516943268 is a wasteful number, since it uses less digits than its factorization.

2516943268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16492 (or 16490 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 2516943268 is about 50169.1465743638. The cubic root of 2516943268 is about 1360.2679813617.

The spelling of 2516943268 in words is "two billion, five hundred sixteen million, nine hundred forty-three thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 23 28 46 92 161 241 322 482 644 964 1687 3374 5543 6748 11086 16217 22172 32434 38801 64868 77602 113519 155204 227038 372991 454076 745982 1491964 2610937 3908297 5221874 7816594 10443748 15633188 27358079 54716158 89890831 109432316 179781662 359563324 629235817 1258471634 2516943268