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4823002656 = 253349111369
BaseRepresentation
bin1000111110111100…
…10010111000100000
3110110010022220212000
410133132102320200
534334142041111
62114325404000
7230342563143
oct43736227040
913403286760
104823002656
11205550630a
12b27269600
135bb299634
1433a78a05a
151d3642c56
hex11f792e20

4823002656 has 96 divisors (see below), whose sum is σ = 14096980800. Its totient is φ = 1604252160.

The previous prime is 4823002633. The next prime is 4823002699. The reversal of 4823002656 is 6562003284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×48230026562 = 46522709239566108672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4823002656.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418540 + ... + 429908.

It is an arithmetic number, because the mean of its divisors is an integer number (146843550).

Almost surely, 24823002656 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 4823002656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048490400).

4823002656 is an abundant number, since it is smaller than the sum of its proper divisors (9273978144).

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

4823002656 is a wasteful number, since it uses less digits than its factorization.

4823002656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11879 (or 11865 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4823002656 is about 69447.8412623459. The cubic root of 4823002656 is about 1689.5556475638. Note that the first 3 decimals are identical.

The spelling of 4823002656 in words is "four billion, eight hundred twenty-three million, two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 491 864 982 1473 1964 2946 3928 4419 5892 7856 8838 11369 11784 13257 15712 17676 22738 23568 26514 34107 35352 45476 47136 53028 68214 70704 90952 102321 106056 136428 141408 181904 204642 212112 272856 306963 363808 409284 424224 545712 613926 818568 1091424 1227852 1637136 2455704 3274272 4911408 5582179 9822816 11164358 16746537 22328716 33493074 44657432 50239611 66986148 89314864 100479222 133972296 150718833 178629728 200958444 267944592 301437666 401916888 535889184 602875332 803833776 1205750664 1607667552 2411501328 4823002656