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4692413088 = 2532115327947
BaseRepresentation
bin1000101111011000…
…01000101010100000
3110010000121021122100
410113230020222200
534102224204323
62053342410400
7224165565426
oct42754105240
913100537570
104692413088
111a98821450
12aab590a00
1359a2056bc
143272b5116
151c6e49943
hex117b08aa0

4692413088 has 144 divisors (see below), whose sum is σ = 14832338976. Its totient is φ = 1395064320.

The previous prime is 4692413069. The next prime is 4692413093. The reversal of 4692413088 is 8803142964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153931 + ... + 181877.

It is an arithmetic number, because the mean of its divisors is an integer number (103002354).

Almost surely, 24692413088 is an apocalyptic number.

4692413088 is a gapful number since it is divisible by the number (48) 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 4692413088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7416169488).

4692413088 is an abundant number, since it is smaller than the sum of its proper divisors (10139925888).

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

4692413088 is a wasteful number, since it uses less digits than its factorization.

4692413088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28027 (or 28016 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4692413088 is about 68501.1904130140. The cubic root of 4692413088 is about 1674.1668791296.

The spelling of 4692413088 in words is "four billion, six hundred ninety-two million, four hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 66 72 88 96 99 106 132 144 159 176 198 212 264 288 318 352 396 424 477 528 583 636 792 848 954 1056 1166 1272 1584 1696 1749 1908 2332 2544 3168 3498 3816 4664 5088 5247 6996 7632 9328 10494 13992 15264 18656 20988 27947 27984 41976 55894 55968 83841 83952 111788 167682 167904 223576 251523 307417 335364 447152 503046 614834 670728 894304 922251 1006092 1229668 1341456 1481191 1844502 2012184 2459336 2682912 2766753 2962382 3689004 4024368 4443573 4918672 5533506 5924764 7378008 8048736 8887146 9837344 11067012 11849528 13330719 14756016 16293101 17774292 22134024 23699056 26661438 29512032 32586202 35548584 44268048 47398112 48879303 53322876 65172404 71097168 88536096 97758606 106645752 130344808 142194336 146637909 195517212 213291504 260689616 293275818 391034424 426583008 521379232 586551636 782068848 1173103272 1564137696 2346206544 4692413088