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52834964 = 22713373923
BaseRepresentation
bin1100100110001…
…1001010010100
310200102021221112
43021203022110
5102011204324
65124234152
71211042540
oct311431224
9120367845
1052834964
1127907766
121583b958
13ac3b8c0
147034a20
154989c0e
hex3263294

52834964 has 48 divisors (see below), whose sum is σ = 116903808. Its totient is φ = 20331648.

The previous prime is 52834961. The next prime is 52835021. The reversal of 52834964 is 46943825.

52834964 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

52834964 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52834961) 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, 11507 + ... + 15429.

It is an arithmetic number, because the mean of its divisors is an integer number (2435496).

Almost surely, 252834964 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 52834964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58451904).

52834964 is an abundant number, since it is smaller than the sum of its proper divisors (64068844).

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

52834964 is a wasteful number, since it uses less digits than its factorization.

52834964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3982 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 52834964 is about 7268.7663327418. The cubic root of 52834964 is about 375.2382817446.

The spelling of 52834964 in words is "fifty-two million, eight hundred thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 364 481 518 962 1036 1924 3367 3923 6734 7846 13468 15692 27461 50999 54922 101998 109844 145151 203996 290302 356993 580604 713986 1016057 1427972 1886963 2032114 3773926 4064228 7547852 13208741 26417482 52834964