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52674208 = 2529311831
BaseRepresentation
bin1100100011101…
…1111010100000
310200010010102121
43020323322200
5101441033313
65120554024
71206503056
oct310737240
9120103377
1052674208
1127807a04
1215782914
13abb3692
146dd21d6
15495728d
hex323bea0

52674208 has 48 divisors (see below), whose sum is σ = 110799360. Its totient is φ = 24595200.

The previous prime is 52674203. The next prime is 52674233. The reversal of 52674208 is 80247625.

52674208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52674203) 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 7 ways as a sum of consecutive naturals, for example, 27853 + ... + 29683.

It is an arithmetic number, because the mean of its divisors is an integer number (2308320).

Almost surely, 252674208 is an apocalyptic number.

52674208 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52674208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55399680).

52674208 is an abundant number, since it is smaller than the sum of its proper divisors (58125152).

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

52674208 is a wasteful number, since it uses less digits than its factorization.

52674208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 52674208 is about 7257.6999111289. The cubic root of 52674208 is about 374.8573276517.

The spelling of 52674208 in words is "fifty-two million, six hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 232 248 464 496 899 928 992 1798 1831 3596 3662 7192 7324 14384 14648 28768 29296 53099 56761 58592 106198 113522 212396 227044 424792 454088 849584 908176 1646069 1699168 1816352 3292138 6584276 13168552 26337104 52674208