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2424672 = 25328419
BaseRepresentation
bin1001001111111101100000
311120012000200
421033331200
51110042142
6123545200
726416005
oct11177540
94505020
102424672
111406768
1298b200
1366b823
144718ac
1532d64c
hex24ff60

2424672 has 36 divisors (see below), whose sum is σ = 6895980. Its totient is φ = 808128.

The previous prime is 2424649. The next prime is 2424691. The reversal of 2424672 is 2764242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 3922 + ... + 4497.

It is an arithmetic number, because the mean of its divisors is an integer number (191555).

22424672 is an apocalyptic number.

It is an amenable number.

2424672 is an abundant number, since it is smaller than the sum of its proper divisors (4471308).

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

2424672 is a wasteful number, since it uses less digits than its factorization.

2424672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8435 (or 8424 counting only the distinct ones).

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

The square root of 2424672 is about 1557.1358322253. The cubic root of 2424672 is about 134.3438115466.

The spelling of 2424672 in words is "two million, four hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8419 16838 25257 33676 50514 67352 75771 101028 134704 151542 202056 269408 303084 404112 606168 808224 1212336 2424672