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52649028 = 2234433779
BaseRepresentation
bin1100100011010…
…1110001000100
310200001211220000
43020311301010
5101434232103
65120241300
71206336465
oct310656104
9120054800
1052649028
112779aaa3
1215770230
13aba5093
146dc6d6c
15494eaa3
hex3235c44

52649028 has 60 divisors (see below), whose sum is σ = 140873040. Its totient is φ = 17137008.

The previous prime is 52649021. The next prime is 52649053. The reversal of 52649028 is 82094625.

It is a happy number.

52649028 is a `hidden beast` number, since 5 + 2 + 649 + 0 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 52648983 and 52649001.

It is not an unprimeable number, because it can be changed into a prime (52649021) 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 19 ways as a sum of consecutive naturals, for example, 12043 + ... + 15821.

It is an arithmetic number, because the mean of its divisors is an integer number (2347884).

Almost surely, 252649028 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 52649028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70436520).

52649028 is an abundant number, since it is smaller than the sum of its proper divisors (88224012).

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

52649028 is a wasteful number, since it uses less digits than its factorization.

52649028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52649028 is about 7255.9649944029. The cubic root of 52649028 is about 374.7975867633.

The spelling of 52649028 in words is "fifty-two million, six hundred forty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 2322 3483 3779 4644 6966 7558 11337 13932 15116 22674 34011 45348 68022 102033 136044 162497 204066 306099 324994 408132 487491 612198 649988 974982 1224396 1462473 1949964 2924946 4387419 5849892 8774838 13162257 17549676 26324514 52649028