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53168430 = 235735167
BaseRepresentation
bin1100101011010…
…0100100101110
310201001020101010
43022310210232
5102102342210
65135330050
71213632000
oct312644456
9121036333
1053168430
1128015257
1215980926
13b027613
1470c0370
154a03920
hex32b492e

53168430 has 64 divisors (see below), whose sum is σ = 148838400. Its totient is φ = 12150432.

The previous prime is 53168429. The next prime is 53168447. The reversal of 53168430 is 3486135.

53168430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7707 + ... + 12873.

It is an arithmetic number, because the mean of its divisors is an integer number (2325600).

Almost surely, 253168430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53168430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74419200).

53168430 is an abundant number, since it is smaller than the sum of its proper divisors (95669970).

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

53168430 is a wasteful number, since it uses less digits than its factorization.

53168430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 53168430 is about 7291.6685333331. The cubic root of 53168430 is about 376.0260610803.

The spelling of 53168430 in words is "fifty-three million, one hundred sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 3430 5145 5167 10290 10334 15501 25835 31002 36169 51670 72338 77505 108507 155010 180845 217014 253183 361690 506366 542535 759549 1085070 1265915 1519098 1772281 2531830 3544562 3797745 5316843 7595490 8861405 10633686 17722810 26584215 53168430