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52952130 = 2355711283
BaseRepresentation
bin1100100111111…
…1110001000010
310200122020200000
43021333301002
5102023432010
65130540430
71212041250
oct311776102
9120566600
1052952130
11279877a0
1215897716
13ac8002a
1470655d0
1549ae7c0
hex327fc42

52952130 has 192 divisors, whose sum is σ = 178633728. Its totient is φ = 10964160.

The previous prime is 52952129. The next prime is 52952149. The reversal of 52952130 is 3125925.

52952130 is a `hidden beast` number, since 529 + 5 + 2 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 52952094 and 52952103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186969 + ... + 187251.

It is an arithmetic number, because the mean of its divisors is an integer number (930384).

Almost surely, 252952130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52952130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89316864).

52952130 is an abundant number, since it is smaller than the sum of its proper divisors (125681598).

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

52952130 is a wasteful number, since it uses less digits than its factorization.

52952130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 52952130 is about 7276.8214214724. The cubic root of 52952130 is about 375.5154511690.

52952130 divided by its sum of digits (27) gives a triangular number (1961190 = T1980).

The spelling of 52952130 in words is "fifty-two million, nine hundred fifty-two thousand, one hundred thirty".