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2472148 = 227212613
BaseRepresentation
bin1001011011100011010100
311122121011001
421123203110
51113102043
6124553044
730004300
oct11334324
94577131
102472148
1114393a8
129b2784
13687313
14484d00
1533c74d
hex25b8d4

2472148 has 18 divisors (see below), whose sum is σ = 5032986. Its totient is φ = 1059408.

The previous prime is 2472143. The next prime is 2472167. The reversal of 2472148 is 8412742.

2472148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2039184 + 432964 = 1428^2 + 658^2 .

It is a super-2 number, since 2×24721482 = 12223031467808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6111 + ... + 6502.

22472148 is an apocalyptic number.

2472148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2472148 is an abundant number, since it is smaller than the sum of its proper divisors (2560838).

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

2472148 is a wasteful number, since it uses less digits than its factorization.

2472148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12631 (or 12622 counting only the distinct ones).

The product of its digits is 3584, while the sum is 28.

The square root of 2472148 is about 1572.3065858795. The cubic root of 2472148 is about 135.2149843924.

The spelling of 2472148 in words is "two million, four hundred seventy-two thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 12613 25226 50452 88291 176582 353164 618037 1236074 2472148