Search a number
-
+
2516238648 = 2333711151289
BaseRepresentation
bin1001010111111010…
…1100000100111000
320111100202011112000
42111332230010320
520123124114043
61053403421000
7116232450510
oct22576540470
96440664460
102516238648
111081395380
125a2824760
133113c6811
1419c27a840
15ead872d3
hex95fac138

2516238648 has 128 divisors (see below), whose sum is σ = 8714304000. Its totient is φ = 653564160.

The previous prime is 2516238583. The next prime is 2516238649. The reversal of 2516238648 is 8468326152.

2516238648 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516238649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59013 + ... + 92276.

It is an arithmetic number, because the mean of its divisors is an integer number (68080500).

Almost surely, 22516238648 is an apocalyptic number.

2516238648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2516238648 is an abundant number, since it is smaller than the sum of its proper divisors (6198065352).

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

2516238648 is a wasteful number, since it uses less digits than its factorization.

2516238648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151322 (or 151312 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2516238648 is about 50162.1236392559. The cubic root of 2516238648 is about 1360.1410335287.

The spelling of 2516238648 in words is "two billion, five hundred sixteen million, two hundred thirty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 8316 16632 151289 302578 453867 605156 907734 1059023 1210312 1361601 1664179 1815468 2118046 2723202 3177069 3328358 3630936 4084803 4236092 4992537 5446404 6354138 6656716 8169606 8472184 9531207 9985074 10892808 11649253 12708276 13313432 14977611 16339212 19062414 19970148 23298506 25416552 28593621 29955222 32678424 34947759 38124828 39940296 44932833 46597012 57187242 59910444 69895518 76249656 89865666 93194024 104843277 114374484 119820888 139791036 179731332 209686554 228748968 279582072 314529831 359462664 419373108 629059662 838746216 1258119324 2516238648