Search a number
-
+
53028576 = 25321710831
BaseRepresentation
bin1100101001001…
…0011011100000
310200210010112100
43022102123200
5102033403301
65132330400
71212510156
oct312223340
9120703470
1053028576
1127a2a177
1215913a00
13aca8a73
1470853d6
1549c7286
hex32926e0

53028576 has 72 divisors (see below), whose sum is σ = 159685344. Its totient is φ = 16634880.

The previous prime is 53028553. The next prime is 53028637. The reversal of 53028576 is 67582035.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53028576.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 520 + ... + 10311.

It is an arithmetic number, because the mean of its divisors is an integer number (2217852).

Almost surely, 253028576 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 53028576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79842672).

53028576 is an abundant number, since it is smaller than the sum of its proper divisors (106656768).

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

53028576 is a wasteful number, since it uses less digits than its factorization.

53028576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864 (or 10853 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 53028576 is about 7282.0722325448. The cubic root of 53028576 is about 375.6960724888.

The spelling of 53028576 in words is "fifty-three million, twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 10831 21662 32493 43324 64986 86648 97479 129972 173296 184127 194958 259944 346592 368254 389916 519888 552381 736508 779832 1039776 1104762 1473016 1559664 1657143 2209524 2946032 3119328 3314286 4419048 5892064 6628572 8838096 13257144 17676192 26514288 53028576