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5872896 = 28322549
BaseRepresentation
bin10110011001110100000000
3102001101002200
4112121310000
53000413041
6325513200
7100630101
oct26316400
912041080
105872896
113351437
121b72800
1312a81b3
14acc3a8
157b01b6
hex599d00

5872896 has 54 divisors (see below), whose sum is σ = 16939650. Its totient is φ = 1956864.

The previous prime is 5872891. The next prime is 5872903. The reversal of 5872896 is 6982785.

It can be written as a sum of positive squares in only one way, i.e., 5760000 + 112896 = 2400^2 + 336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5872891) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1030 + ... + 3578.

Almost surely, 25872896 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 5872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8469825).

5872896 is an abundant number, since it is smaller than the sum of its proper divisors (11066754).

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

5872896 is a wasteful number, since it uses less digits than its factorization.

5872896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2554 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5872896 is about 2423.4058677820. The cubic root of 5872896 is about 180.4197610944.

The spelling of 5872896 in words is "five million, eight hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2549 5098 7647 10196 15294 20392 22941 30588 40784 45882 61176 81568 91764 122352 163136 183528 244704 326272 367056 489408 652544 734112 978816 1468224 1957632 2936448 5872896