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2516234532 = 2237172960761
BaseRepresentation
bin1001010111111010…
…1011000100100100
320111100201221212120
42111332223010210
520123124001112
61053403345540
7116232432510
oct22576530444
96440657776
102516234532
111081392279
125a28222b0
133113c4996
1419c279140
15ead85e8c
hex95fab124

2516234532 has 96 divisors (see below), whose sum is σ = 7349771520. Its totient is φ = 653291520.

The previous prime is 2516234521. The next prime is 2516234551. The reversal of 2516234532 is 2354326152.

It is a happy number.

2516234532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2516234493 and 2516234502.

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, 11032 + ... + 71792.

It is an arithmetic number, because the mean of its divisors is an integer number (76560120).

Almost surely, 22516234532 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 2516234532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674885760).

2516234532 is an abundant number, since it is smaller than the sum of its proper divisors (4833536988).

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

2516234532 is a wasteful number, since it uses less digits than its factorization.

2516234532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60821 (or 60819 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 2516234532 is about 50162.0826122680. The cubic root of 2516234532 is about 1360.1402919001.

The spelling of 2516234532 in words is "two billion, five hundred sixteen million, two hundred thirty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 29 34 42 51 58 68 84 87 102 116 119 174 203 204 238 348 357 406 476 493 609 714 812 986 1218 1428 1479 1972 2436 2958 3451 5916 6902 10353 13804 20706 41412 60761 121522 182283 243044 364566 425327 729132 850654 1032937 1275981 1701308 1762069 2065874 2551962 3098811 3524138 4131748 5103924 5286207 6197622 7048276 7230559 10572414 12334483 12395244 14461118 21144828 21691677 24668966 28922236 29955173 37003449 43383354 49337932 59910346 74006898 86766708 89865519 119820692 148013796 179731038 209686211 359462076 419372422 629058633 838744844 1258117266 2516234532