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4979794932 = 22327212292297
BaseRepresentation
bin1001010001101000…
…11010001111110100
3110212001100210102100
410220310122033310
540144311414212
62142050142100
7234255362400
oct45064321764
913761323370
104979794932
112125a67702
12b6b881930
13614906028
14353522100
151e22b4bdc
hex128d1a3f4

4979794932 has 108 divisors (see below), whose sum is σ = 14661262980. Its totient is φ = 1421021952.

The previous prime is 4979794913. The next prime is 4979794973. The reversal of 4979794932 is 2394979794.

4979794932 is a `hidden beast` number, since 4 + 9 + 79 + 79 + 493 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3979591056 + 1000203876 = 63084^2 + 31626^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4979794932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2166808 + ... + 2169104.

It is an arithmetic number, because the mean of its divisors is an integer number (135752435).

Almost surely, 24979794932 is an apocalyptic number.

4979794932 is a gapful number since it is divisible by the number (42) 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 4979794932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330631490).

4979794932 is an abundant number, since it is smaller than the sum of its proper divisors (9681468048).

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

4979794932 is a wasteful number, since it uses less digits than its factorization.

4979794932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3538 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The square root of 4979794932 is about 70567.6620839886. The cubic root of 4979794932 is about 1707.6694917238.

The spelling of 4979794932 in words is "four billion, nine hundred seventy-nine million, seven hundred ninety-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1229 1764 2297 2458 3687 4594 4916 6891 7374 8603 9188 11061 13782 14748 16079 17206 20673 22122 25809 27564 32158 34412 41346 44244 48237 51618 60221 64316 77427 82692 96474 103236 112553 120442 144711 154854 180663 192948 225106 240884 289422 309708 337659 361326 450212 541989 578844 675318 722652 1012977 1083978 1350636 2025954 2167956 2823013 4051908 5646026 8469039 11292052 16938078 19761091 25407117 33876156 39522182 50814234 59283273 79044364 101628468 118566546 138327637 177849819 237133092 276655274 355699638 414982911 553310548 711399276 829965822 1244948733 1659931644 2489897466 4979794932