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5003967952 = 241722347051
BaseRepresentation
bin1001010100100001…
…00111110111010000
3110220201211220120101
410222100213313100
540222003433302
62144312222144
7235001011564
oct45220476720
913821756511
105003967952
112138678205
12b7799a954
1361991a9a9
143568156a4
151e448c287
hex12a427dd0

5003967952 has 60 divisors (see below), whose sum is σ = 10747053216. Its totient is φ = 2252377600.

The previous prime is 5003967911. The next prime is 5003967961. The reversal of 5003967952 is 2597693005.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82827 + ... + 129877.

Almost surely, 25003967952 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 5003967952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373526608).

5003967952 is an abundant number, since it is smaller than the sum of its proper divisors (5743085264).

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

5003967952 is a wasteful number, since it uses less digits than its factorization.

5003967952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47116 (or 47093 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 46.

The square root of 5003967952 is about 70738.7302119567. The cubic root of 5003967952 is about 1710.4281672370.

The spelling of 5003967952 in words is "five billion, three million, nine hundred sixty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 289 368 391 578 782 1156 1564 2312 3128 4624 6256 6647 13294 26588 47051 53176 94102 106352 188204 376408 752816 799867 1082173 1599734 2164346 3199468 4328692 6398936 8657384 12797872 13597739 17314768 18396941 27195478 36793882 54390956 73587764 108781912 147175528 217563824 294351056 312747997 625495994 1250991988 2501983976 5003967952