Search a number
-
+
53258368 = 271961359
BaseRepresentation
bin1100101100101…
…0100010000000
310201012210202011
43023022202000
5102113231433
65141302304
71214455132
oct313124200
9121183664
1053258368
1128076889
1215a04994
13b059537
147105052
154a203cd
hex32ca880

53258368 has 64 divisors (see below), whose sum is σ = 113832000. Its totient is φ = 24744960.

The previous prime is 53258357. The next prime is 53258371. The reversal of 53258368 is 86385235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 53258368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148173 + ... + 148531.

It is an arithmetic number, because the mean of its divisors is an integer number (1778625).

Almost surely, 253258368 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 53258368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56916000).

53258368 is an abundant number, since it is smaller than the sum of its proper divisors (60573632).

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

53258368 is a wasteful number, since it uses less digits than its factorization.

53258368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The square root of 53258368 is about 7297.8331030519. The cubic root of 53258368 is about 376.2379661571.

The spelling of 53258368 in words is "fifty-three million, two hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 304 359 488 608 718 976 1159 1216 1436 1952 2318 2432 2872 3904 4636 5744 6821 7808 9272 11488 13642 18544 21899 22976 27284 37088 43798 45952 54568 74176 87596 109136 148352 175192 218272 350384 416081 436544 700768 832162 873088 1401536 1664324 2803072 3328648 6657296 13314592 26629184 53258368