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2472264 = 233234337
BaseRepresentation
bin1001011011100101001000
311122121022100
421123211020
51113103024
6124553400
730004524
oct11334510
94577270
102472264
1114394a3
129b2860
136873a2
14484d84
1533c7c9
hex25b948

2472264 has 24 divisors (see below), whose sum is σ = 6695910. Its totient is φ = 824064.

The previous prime is 2472251. The next prime is 2472289. The reversal of 2472264 is 4622742.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2160900 + 311364 = 1470^2 + 558^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×24722642 = 12224178571392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17097 + ... + 17240.

22472264 is an apocalyptic number.

2472264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2472264 is an abundant number, since it is smaller than the sum of its proper divisors (4223646).

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

2472264 is a wasteful number, since it uses less digits than its factorization.

2472264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34349 (or 34342 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 2472264 is about 1572.3434739267. The cubic root of 2472264 is about 135.2170992460.

The spelling of 2472264 in words is "two million, four hundred seventy-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 34337 68674 103011 137348 206022 274696 309033 412044 618066 824088 1236132 2472264