Search a number
-
+
2608631296 = 29192389131
BaseRepresentation
bin1001101101111100…
…1000111000000000
320201210121012101221
42123133020320000
520320302200141
61110504004424
7121434000025
oct23337107000
96653535357
102608631296
111119560337
12609760714
133275a581b
141aa64b54c
15104037bd1
hex9b7c8e00

2608631296 has 160 divisors (see below), whose sum is σ = 5833555200. Its totient is φ = 1159741440.

The previous prime is 2608631281. The next prime is 2608631297. The reversal of 2608631296 is 6921368062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2608631297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19913151 + ... + 19913281.

It is an arithmetic number, because the mean of its divisors is an integer number (36459720).

Almost surely, 22608631296 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 2608631296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916777600).

2608631296 is an abundant number, since it is smaller than the sum of its proper divisors (3224923904).

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

2608631296 is a wasteful number, since it uses less digits than its factorization.

2608631296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 2608631296 is about 51074.7618300859. The cubic root of 2608631296 is about 1376.5888051560.

The spelling of 2608631296 in words is "two billion, six hundred eight million, six hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 89 92 128 131 152 178 184 256 262 304 356 368 437 512 524 608 712 736 874 1048 1216 1424 1472 1691 1748 2047 2096 2432 2489 2848 2944 3013 3382 3496 4094 4192 4864 4978 5696 5888 6026 6764 6992 8188 8384 9728 9956 11392 11659 11776 12052 13528 13984 16376 16768 19912 22784 23318 24104 27056 27968 32752 33536 38893 39824 45568 46636 48208 54112 55936 57247 65504 67072 77786 79648 93272 96416 108224 111872 114494 131008 155572 159296 186544 192832 216448 221521 223744 228988 262016 268157 311144 318592 373088 385664 432896 443042 457976 524032 536314 622288 637184 746176 771328 865792 886084 915952 1048064 1072628 1244576 1274368 1492352 1542656 1772168 1831904 2145256 2489152 2984704 3544336 3663808 4290512 4978304 5094983 5969408 7088672 7327616 8581024 9956608 10189966 14177344 14655232 17162048 19913216 20379932 28354688 29310464 34324096 40759864 56709376 68648192 81519728 113418752 137296384 163039456 326078912 652157824 1304315648 2608631296