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52837681 = 1322910781
BaseRepresentation
bin1100100110001…
…1110100110001
310200102102200011
43021203310301
5102011301211
65124254521
71211053501
oct311436461
9120372604
1052837681
1127909806
1215841441
13ac3cc00
147035a01
15498a921
hex3263d31

52837681 has 12 divisors (see below), whose sum is σ = 59193180. Its totient is φ = 47087040.

The previous prime is 52837663. The next prime is 52837699. The reversal of 52837681 is 18673825.

52837681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52837663) and next prime (52837699).

It can be written as a sum of positive squares in 6 ways, for example, as 11621281 + 41216400 = 3409^2 + 6420^2 .

It is not a de Polignac number, because 52837681 - 225 = 19283249 is a prime.

It is a super-2 number, since 2×528376812 = 5583641066915522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52837381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490 + ... + 10291.

It is an arithmetic number, because the mean of its divisors is an integer number (4932765).

Almost surely, 252837681 is an apocalyptic number.

It is an amenable number.

52837681 is a deficient number, since it is larger than the sum of its proper divisors (6355499).

52837681 is a wasteful number, since it uses less digits than its factorization.

52837681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836 (or 10823 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 52837681 is about 7268.9532258778. The cubic root of 52837681 is about 375.2447137539.

The spelling of 52837681 in words is "fifty-two million, eight hundred thirty-seven thousand, six hundred eighty-one".

Divisors: 1 13 29 169 377 4901 10781 140153 312649 1821989 4064437 52837681