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2516298148 = 22713311731289
BaseRepresentation
bin1001010111111011…
…1010100110100100
320111100212012010201
42111332322212210
520123133020043
61053405000244
7116233116130
oct22576724644
96440765121
102516298148
111081426051
125a2853084
13311417920
1419c2943c0
15ead99c4d
hex95fba9a4

2516298148 has 96 divisors (see below), whose sum is σ = 5631252480. Its totient is φ = 957035520.

The previous prime is 2516298131. The next prime is 2516298167. The reversal of 2516298148 is 8418926152.

It is a junction number, because it is equal to n+sod(n) for n = 2516298098 and 2516298107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1951488 + ... + 1952776.

It is an arithmetic number, because the mean of its divisors is an integer number (58658880).

Almost surely, 22516298148 is an apocalyptic number.

2516298148 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 2516298148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815626240).

2516298148 is an abundant number, since it is smaller than the sum of its proper divisors (3114954332).

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

2516298148 is a wasteful number, since it uses less digits than its factorization.

2516298148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1515 counting only the distinct ones).

The product of its digits is 276480, while the sum is 46.

The square root of 2516298148 is about 50162.7167127140. The cubic root of 2516298148 is about 1360.1517542598.

The spelling of 2516298148 in words is "two billion, five hundred sixteen million, two hundred ninety-eight thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 173 182 217 346 364 403 434 692 806 868 1211 1289 1612 2249 2422 2578 2821 4498 4844 5156 5363 5642 8996 9023 10726 11284 15743 16757 18046 21452 31486 33514 36092 37541 39959 62972 67028 69719 75082 79918 117299 139438 150164 159836 222997 234598 278876 279713 445994 469196 488033 519467 559426 891988 976066 1038934 1118852 1560979 1952132 2077868 2898961 3121958 3636269 5797922 6243916 6912907 7272538 11595844 13825814 14545076 20292727 27651628 40585454 48390349 81170908 89867791 96780698 179735582 193561396 359471164 629074537 1258149074 2516298148