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52861680 = 2433524473
BaseRepresentation
bin1100100110100…
…1101011110000
310200110122121000
43021221223300
5102013033210
65125002000
71211213454
oct311515360
9120418530
1052861680
1127925843
1215853300
13ac4ab01
147040664
154992ac0
hex3269af0

52861680 has 80 divisors (see below), whose sum is σ = 182086560. Its totient is φ = 14095872.

The previous prime is 52861661. The next prime is 52861681. The reversal of 52861680 is 8616825.

It is a happy number.

52861680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52861681) 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 15 ways as a sum of consecutive naturals, for example, 10077 + ... + 14396.

It is an arithmetic number, because the mean of its divisors is an integer number (2276082).

Almost surely, 252861680 is an apocalyptic number.

It is an amenable number.

52861680 is an abundant number, since it is smaller than the sum of its proper divisors (129224880).

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

52861680 is a wasteful number, since it uses less digits than its factorization.

52861680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24495 (or 24483 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 52861680 is about 7270.6038263682. The cubic root of 52861680 is about 375.3015175009.

The spelling of 52861680 in words is "fifty-two million, eight hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 24473 48946 73419 97892 122365 146838 195784 220257 244730 293676 367095 391568 440514 489460 587352 660771 734190 881028 978920 1101285 1174704 1321542 1468380 1762056 1957840 2202570 2643084 2936760 3303855 3524112 4405140 5286168 5873520 6607710 8810280 10572336 13215420 17620560 26430840 52861680