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2472912 = 2432131321
BaseRepresentation
bin1001011011101111010000
311122122012100
421123233100
51113113122
6125000400
730006441
oct11335720
94578170
102472912
111439a32
129b3100
13687780
144852c8
1533caac
hex25bbd0

2472912 has 60 divisors (see below), whose sum is σ = 7458724. Its totient is φ = 760320.

The previous prime is 2472893. The next prime is 2472919. The reversal of 2472912 is 2192742.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 1089936 = 1176^2 + 1044^2 .

It is a super-2 number, since 2×24729122 = 12230587519488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1212 + ... + 2532.

22472912 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 2472912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729362).

2472912 is an abundant number, since it is smaller than the sum of its proper divisors (4985812).

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

2472912 is a wasteful number, since it uses less digits than its factorization.

2472912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1339 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2472912 is about 1572.5495222727. The cubic root of 2472912 is about 135.2289120386.

The spelling of 2472912 in words is "two million, four hundred seventy-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1321 1872 2642 3963 5284 7926 10568 11889 15852 17173 21136 23778 31704 34346 47556 51519 63408 68692 95112 103038 137384 154557 190224 206076 274768 309114 412152 618228 824304 1236456 2472912