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2471424 = 2931609
BaseRepresentation
bin1001011011011000000000
311122120011020
421123120000
51113041144
6124545440
730002214
oct11333000
94576136
102471424
1114388aa
129b2280
13686ba7
14484944
1533c419
hex25b600

2471424 has 40 divisors (see below), whose sum is σ = 6588120. Its totient is φ = 823296.

The previous prime is 2471407. The next prime is 2471437. The reversal of 2471424 is 4241742.

It is a super-2 number, since 2×24714242 = 12215873175552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2471394 and 2471403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 732 + ... + 2340.

It is an arithmetic number, because the mean of its divisors is an integer number (164703).

22471424 is an apocalyptic number.

2471424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2471424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294060).

2471424 is an abundant number, since it is smaller than the sum of its proper divisors (4116696).

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

2471424 is an equidigital number, since it uses as much as digits as its factorization.

2471424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1614 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 2471424 is about 1572.0763340245. The cubic root of 2471424 is about 135.2017832941.

The spelling of 2471424 in words is "two million, four hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 1609 3218 4827 6436 9654 12872 19308 25744 38616 51488 77232 102976 154464 205952 308928 411904 617856 823808 1235712 2471424