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2479672 = 2313113211
BaseRepresentation
bin1001011101011000111000
311122222110201
421131120320
51113322142
6125051544
730035236
oct11353070
94588421
102479672
111444018
129b6bb4
1368a880
14487956
1533eab7
hex25d638

2479672 has 32 divisors (see below), whose sum is σ = 5075280. Its totient is φ = 1128960.

The previous prime is 2479669. The next prime is 2479679. The reversal of 2479672 is 2769742.

It is a happy number.

2479672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24796722 = 12297546455168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2479679) 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 7 ways as a sum of consecutive naturals, for example, 11647 + ... + 11857.

22479672 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 2479672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537640).

2479672 is an abundant number, since it is smaller than the sum of its proper divisors (2595608).

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

2479672 is a wasteful number, since it uses less digits than its factorization.

2479672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The square root of 2479672 is about 1574.6974312547. The cubic root of 2479672 is about 135.3520213838.

The spelling of 2479672 in words is "two million, four hundred seventy-nine thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 113 211 226 422 452 844 904 1469 1688 2743 2938 5486 5876 10972 11752 21944 23843 47686 95372 190744 309959 619918 1239836 2479672