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2413264 = 24729743
BaseRepresentation
bin1001001101001011010000
311112121101011
421031023100
51104211024
6123420304
726340520
oct11151320
94477334
102413264
1113a9137
12984694
13666589
1446b680
1532a094
hex24d2d0

2413264 has 40 divisors (see below), whose sum is σ = 5535360. Its totient is φ = 997248.

The previous prime is 2413261. The next prime is 2413267. The reversal of 2413264 is 4623142.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2413261) and next prime (2413267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2877 + ... + 3619.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

22413264 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 2413264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680).

2413264 is an abundant number, since it is smaller than the sum of its proper divisors (3122096).

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

2413264 is a wasteful number, since it uses less digits than its factorization.

2413264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 2413264 is about 1553.4683775346. The cubic root of 2413264 is about 134.1327858758.

The spelling of 2413264 in words is "two million, four hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 743 812 1486 1624 2972 3248 5201 5944 10402 11888 20804 21547 41608 43094 83216 86188 150829 172376 301658 344752 603316 1206632 2413264