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2464768 = 2102983
BaseRepresentation
bin1001011001110000000000
311122020000201
421121300000
51112333033
6124454544
726643625
oct11316000
94566021
102464768
1114338a9
129aa454
13683b57
1448234c
1533a47d
hex259c00

2464768 has 44 divisors (see below), whose sum is σ = 5158440. Its totient is φ = 1175552.

The previous prime is 2464757. The next prime is 2464769. The reversal of 2464768 is 8674642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2464769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29655 + ... + 29737.

22464768 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 2464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579220).

2464768 is an abundant number, since it is smaller than the sum of its proper divisors (2693672).

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

2464768 is an equidigital number, since it uses as much as digits as its factorization.

2464768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 2464768 is about 1569.9579612206. The cubic root of 2464768 is about 135.0802997352.

The spelling of 2464768 in words is "two million, four hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 83 116 128 166 232 256 332 464 512 664 928 1024 1328 1856 2407 2656 3712 4814 5312 7424 9628 10624 14848 19256 21248 29696 38512 42496 77024 84992 154048 308096 616192 1232384 2464768