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4996672 = 26101773
BaseRepresentation
bin10011000011111001000000
3100101212010221
4103003321000
52234343142
6255032424
760320362
oct23037100
910355127
104996672
11290308a
12180b714
13105c415
14940d32
1568a767
hex4c3e40

4996672 has 28 divisors (see below), whose sum is σ = 10026396. Its totient is φ = 2470400.

The previous prime is 4996637. The next prime is 4996679. The reversal of 4996672 is 2766994.

It can be written as a sum of positive squares in 2 ways, for example, as 2637376 + 2359296 = 1624^2 + 1536^2 .

It is not an unprimeable number, because it can be changed into a prime (4996679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6078 + ... + 6850.

Almost surely, 24996672 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 4996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013198).

4996672 is an abundant number, since it is smaller than the sum of its proper divisors (5029724).

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

4996672 is a wasteful number, since it uses less digits than its factorization.

4996672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 876 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The square root of 4996672 is about 2235.3236902069. The cubic root of 4996672 is about 170.9596475809.

It can be divided in two parts, 49 and 96672, that added together give a square (96721 = 3112).

The spelling of 4996672 in words is "four million, nine hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 101 202 404 773 808 1546 1616 3092 3232 6184 6464 12368 24736 49472 78073 156146 312292 624584 1249168 2498336 4996672