Search a number
-
+
53359074 = 2342271451
BaseRepresentation
bin1100101110001…
…1000111100010
310201101220220000
43023203013202
5102124442244
65143400430
71215354546
oct313430742
9121356800
1053359074
112813550a
1215a53116
13b093322
14712da26
154a40169
hex32e31e2

53359074 has 40 divisors (see below), whose sum is σ = 120173328. Its totient is φ = 17695800.

The previous prime is 53359063. The next prime is 53359099. The reversal of 53359074 is 47095335.

53359074 is a `hidden beast` number, since 533 + 59 + 0 + 74 = 666.

53359074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon 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 19 ways as a sum of consecutive naturals, for example, 36049 + ... + 37499.

Almost surely, 253359074 is an apocalyptic number.

53359074 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53359074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60086664).

53359074 is an abundant number, since it is smaller than the sum of its proper divisors (66814254).

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

53359074 is a wasteful number, since it uses less digits than its factorization.

53359074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 53359074 is about 7304.7295637826. The cubic root of 53359074 is about 376.4749590495.

The spelling of 53359074 in words is "fifty-three million, three hundred fifty-nine thousand, seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 227 454 681 1362 1451 2043 2902 4086 4353 6129 8706 12258 13059 18387 26118 36774 39177 78354 117531 235062 329377 658754 988131 1976262 2964393 5928786 8893179 17786358 26679537 53359074