Search a number
-
+
2472969984 = 28314592207
BaseRepresentation
bin1001001101100110…
…1000011100000000
320101100022220001220
42103121220130000
520031040014414
61045220155040
7115165620012
oct22331503400
96340286056
102472969984
111059a21a51
12590238a80
13305457264
141966161b2
15e718bca9
hex93668700

2472969984 has 72 divisors (see below), whose sum is σ = 6589201920. Its totient is φ = 823385088.

The previous prime is 2472969979. The next prime is 2472970009. The reversal of 2472969984 is 4899692742.

It is a super-2 number, since 2×24729699842 = 12231161083529920512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1119409 + ... + 1121615.

Almost surely, 22472969984 is an apocalyptic number.

2472969984 is a gapful number since it is divisible by the number (24) 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 2472969984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294600960).

2472969984 is an abundant number, since it is smaller than the sum of its proper divisors (4116231936).

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

2472969984 is a wasteful number, since it uses less digits than its factorization.

2472969984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3671 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 60.

The square root of 2472969984 is about 49728.9652415974. The cubic root of 2472969984 is about 1352.2996896423.

The spelling of 2472969984 in words is "two billion, four hundred seventy-two million, nine hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1459 2207 2918 4377 4414 5836 6621 8754 8828 11672 13242 17508 17656 23344 26484 35016 35312 46688 52968 70032 70624 93376 105936 140064 141248 186752 211872 280128 282496 373504 423744 560256 564992 847488 1120512 1694976 3220013 6440026 9660039 12880052 19320078 25760104 38640156 51520208 77280312 103040416 154560624 206080832 309121248 412161664 618242496 824323328 1236484992 2472969984