Search a number
-
+
2472411540 = 223558217079
BaseRepresentation
bin1001001101011110…
…0000000110010100
320101022021112000210
42103113200012110
520030414132130
61045200205420
7115161102624
oct22327400624
96338245023
102472411540
111059680425
12590009870
133052c0011
1419650c884
15e70cb5b0
hex935e0194

2472411540 has 48 divisors (see below), whose sum is σ = 6924919680. Its totient is φ = 659103360.

The previous prime is 2472411497. The next prime is 2472411581. The reversal of 2472411540 is 451142742.

It is a super-2 number, since 2×24724115402 = 12225637646250343200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2472411498 and 2472411507.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 345721 + ... + 352799.

It is an arithmetic number, because the mean of its divisors is an integer number (144269160).

Almost surely, 22472411540 is an apocalyptic number.

2472411540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2472411540 is an abundant number, since it is smaller than the sum of its proper divisors (4452508140).

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

2472411540 is a wasteful number, since it uses less digits than its factorization.

2472411540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12912 (or 12910 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2472411540 is about 49723.3500480408. The cubic root of 2472411540 is about 1352.1978902534.

The spelling of 2472411540 in words is "two billion, four hundred seventy-two million, four hundred eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5821 7079 11642 14158 17463 21237 23284 28316 29105 34926 35395 42474 58210 69852 70790 84948 87315 106185 116420 141580 174630 212370 349260 424740 41206859 82413718 123620577 164827436 206034295 247241154 412068590 494482308 618102885 824137180 1236205770 2472411540