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2478996 = 2232135297
BaseRepresentation
bin1001011101001110010100
311122221112200
421131032110
51113311441
6125044500
730033252
oct11351624
94587480
102478996
111443563
129b6730
1368a480
144875d2
1533e7b6
hex25d394

2478996 has 36 divisors (see below), whose sum is σ = 6749652. Its totient is φ = 762624.

The previous prime is 2478953. The next prime is 2478997. The reversal of 2478996 is 6998742.

It is a happy number.

2478996 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 2 ways, for example, as 1179396 + 1299600 = 1086^2 + 1140^2 .

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

It is a super-2 number, since 2×24789962 = 12290842336032, which contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478997) 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 11 ways as a sum of consecutive naturals, for example, 2181 + ... + 3116.

22478996 is an apocalyptic number.

2478996 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2478996 is an abundant number, since it is smaller than the sum of its proper divisors (4270656).

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

2478996 is a wasteful number, since it uses less digits than its factorization.

2478996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320 (or 5315 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2478996 is about 1574.4827722144. The cubic root of 2478996 is about 135.3397205254.

The spelling of 2478996 in words is "two million, four hundred seventy-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 5297 10594 15891 21188 31782 47673 63564 68861 95346 137722 190692 206583 275444 413166 619749 826332 1239498 2478996