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53035476 = 223131093119
BaseRepresentation
bin1100101001010…
…0000111010100
310200210110222220
43022110013110
5102034113401
65132422340
71212536244
oct312240724
9120713886
1053035476
1127a3437a
12159179b0
13acabc50
147087b24
1549c9336
hex32941d4

53035476 has 48 divisors (see below), whose sum is σ = 134534400. Its totient is φ = 16163712.

The previous prime is 53035471. The next prime is 53035487. The reversal of 53035476 is 67453035.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53035471) 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, 15445 + ... + 18563.

It is an arithmetic number, because the mean of its divisors is an integer number (2802800).

Almost surely, 253035476 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 53035476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67267200).

53035476 is an abundant number, since it is smaller than the sum of its proper divisors (81498924).

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

53035476 is a wasteful number, since it uses less digits than its factorization.

53035476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 53035476 is about 7282.5459833770. The cubic root of 53035476 is about 375.7123667882.

The spelling of 53035476 in words is "fifty-three million, thirty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 436 654 1308 1417 2834 3119 4251 5668 6238 8502 9357 12476 17004 18714 37428 40547 81094 121641 162188 243282 339971 486564 679942 1019913 1359884 2039826 4079652 4419623 8839246 13258869 17678492 26517738 53035476