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5838072 = 2331741349
BaseRepresentation
bin10110010001010011111000
3101222121022220
4112101103320
52443304242
6325044040
7100423422
oct26212370
911877286
105838072
113328259
121b56620
1312953a6
14abd812
157a4bec
hex5914f8

5838072 has 64 divisors (see below), whose sum is σ = 15876000. Its totient is φ = 1781760.

The previous prime is 5838071. The next prime is 5838083. The reversal of 5838072 is 2708385.

It is a super-4 number, since 4×58380724 (a number of 28 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5838071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16554 + ... + 16902.

Almost surely, 25838072 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 5838072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938000).

5838072 is an abundant number, since it is smaller than the sum of its proper divisors (10037928).

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

5838072 is a wasteful number, since it uses less digits than its factorization.

5838072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 5838072 is about 2416.2102557518. The cubic root of 5838072 is about 180.0624474684.

The spelling of 5838072 in words is "five million, eight hundred thirty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 349 408 492 697 698 984 1047 1394 1396 2091 2094 2788 2792 4182 4188 5576 5933 8364 8376 11866 14309 16728 17799 23732 28618 35598 42927 47464 57236 71196 85854 114472 142392 171708 243253 343416 486506 729759 973012 1459518 1946024 2919036 5838072