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2480744 = 237311429
BaseRepresentation
bin1001011101101001101000
311200000221102
421131221220
51113340434
6125100532
730041330
oct11355150
94600842
102480744
111444902
129b7748
1368b1c6
144880c0
1534007e
hex25da68

2480744 has 32 divisors (see below), whose sum is σ = 5491200. Its totient is φ = 1028160.

The previous prime is 2480743. The next prime is 2480749. The reversal of 2480744 is 4470842.

2480744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

2480744 is a modest number, since divided by 744 gives 248 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2480743) 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, 1022 + ... + 2450.

It is an arithmetic number, because the mean of its divisors is an integer number (171600).

22480744 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 2480744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745600).

2480744 is an abundant number, since it is smaller than the sum of its proper divisors (3010456).

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

2480744 is a wasteful number, since it uses less digits than its factorization.

2480744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 2480744 is about 1575.0377773247. The cubic root of 2480744 is about 135.3715234877.

The spelling of 2480744 in words is "two million, four hundred eighty thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1429 1736 2858 5716 10003 11432 20006 40012 44299 80024 88598 177196 310093 354392 620186 1240372 2480744