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5062906576 = 2472133891277
BaseRepresentation
bin1001011011100010…
…11101001011010000
3111001211202022011101
410231301131023100
540332101002301
62154215354144
7236314665400
oct45561351320
914054668141
105062906576
112168973712
12b93682954
13628bb5810
14360598800
151e9730701
hex12dc5d2d0

5062906576 has 120 divisors (see below), whose sum is σ = 12329913960. Its totient is φ = 1996194816.

The previous prime is 5062906571. The next prime is 5062906621. The reversal of 5062906576 is 6756092605.

It can be written as a sum of positive squares in 4 ways, for example, as 96040000 + 4966866576 = 9800^2 + 70476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5062906571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3964050 + ... + 3965326.

It is an arithmetic number, because the mean of its divisors is an integer number (102749283).

Almost surely, 25062906576 is an apocalyptic number.

5062906576 is a gapful number since it is divisible by the number (56) 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 5062906576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164956980).

5062906576 is an abundant number, since it is smaller than the sum of its proper divisors (7267007384).

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

5062906576 is a wasteful number, since it uses less digits than its factorization.

5062906576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The square root of 5062906576 is about 71154.1044213192. The cubic root of 5062906576 is about 1717.1173293489.

The spelling of 5062906576 in words is "five billion, sixty-two million, nine hundred six thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 389 392 637 728 778 784 1274 1277 1456 1556 2548 2554 2723 3112 5057 5096 5108 5446 6224 8939 10114 10192 10216 10892 16601 17878 19061 20228 20432 21784 33202 35399 35756 38122 40456 43568 62573 66404 70798 71512 76244 80912 116207 125146 132808 141596 143024 152488 232414 247793 250292 265616 283192 304976 464828 495586 496753 500584 566384 813449 929656 991172 993506 1001168 1626898 1859312 1982344 1987012 3253796 3477271 3964688 3974024 6457789 6507592 6954542 7948048 12915578 13015184 13909084 24340897 25831156 27818168 45204523 48681794 51662312 55636336 90409046 97363588 103324624 180818092 194727176 316431661 361636184 389454352 632863322 723272368 1265726644 2531453288 5062906576