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4876768 = 251319617
BaseRepresentation
bin10010100110100111100000
3100011202200001
4102212213200
52222024033
6252305344
756310661
oct22464740
910152601
104876768
112830a96
121772254
131019980
1490d368
15664e7d
hex4a69e0

4876768 has 48 divisors (see below), whose sum is σ = 10901520. Its totient is φ = 2128896.

The previous prime is 4876757. The next prime is 4876783. The reversal of 4876768 is 8676784.

It is a super-2 number, since 2×48767682 = 47565732251648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7596 + ... + 8212.

It is an arithmetic number, because the mean of its divisors is an integer number (227115).

Almost surely, 24876768 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 4876768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450760).

4876768 is an abundant number, since it is smaller than the sum of its proper divisors (6024752).

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

4876768 is a wasteful number, since it uses less digits than its factorization.

4876768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 651 counting only the distinct ones).

The product of its digits is 451584, while the sum is 46.

The square root of 4876768 is about 2208.3405534473. The cubic root of 4876768 is about 169.5810676624.

The spelling of 4876768 in words is "four million, eight hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 617 988 1234 1976 2468 3952 4936 7904 8021 9872 11723 16042 19744 23446 32084 46892 64168 93784 128336 152399 187568 256672 304798 375136 609596 1219192 2438384 4876768