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2475424 = 25743257
BaseRepresentation
bin1001011100010110100000
311122202122101
421130112200
51113203144
6125020144
730016660
oct11342640
94582571
102475424
111440906
129b4654
13688963
144861a0
1533d6d4
hex25c5a0

2475424 has 48 divisors (see below), whose sum is σ = 5721408. Its totient is φ = 1032192.

The previous prime is 2475397. The next prime is 2475427. The reversal of 2475424 is 4245742.

It is a happy number.

It is a super-2 number, since 2×24754242 = 12255447959552, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2475392 and 2475401.

It is not an unprimeable number, because it can be changed into a prime (2475427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9504 + ... + 9760.

It is an arithmetic number, because the mean of its divisors is an integer number (119196).

22475424 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 2475424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860704).

2475424 is an abundant number, since it is smaller than the sum of its proper divisors (3245984).

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

2475424 is a wasteful number, since it uses less digits than its factorization.

2475424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its digits is 8960, while the sum is 28.

The square root of 2475424 is about 1573.3480225303. The cubic root of 2475424 is about 135.2746853443.

It can be divided in two parts, 247 and 5424, that added together give a triangular number (5671 = T106).

The spelling of 2475424 in words is "two million, four hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 257 301 344 514 602 688 1028 1204 1376 1799 2056 2408 3598 4112 4816 7196 8224 9632 11051 14392 22102 28784 44204 57568 77357 88408 154714 176816 309428 353632 618856 1237712 2475424