Search a number
-
+
53296520 = 23519233049
BaseRepresentation
bin1100101101001…
…1110110001000
310201021202002012
43023103312020
5102120442040
65142155052
71215004304
oct313236610
9121252065
1053296520
11280a2512
1215a22a88
13b070a04
147114d04
154a2b865
hex32d3d88

53296520 has 64 divisors (see below), whose sum is σ = 131760000. Its totient is φ = 19312128.

The previous prime is 53296517. The next prime is 53296549. The reversal of 53296520 is 2569235.

53296520 = T259 + T260 + ... + T695.

53296520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×532965202 = 5681038088220800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 15956 + ... + 19004.

It is an arithmetic number, because the mean of its divisors is an integer number (2058750).

Almost surely, 253296520 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 53296520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65880000).

53296520 is an abundant number, since it is smaller than the sum of its proper divisors (78463480).

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

53296520 is a wasteful number, since it uses less digits than its factorization.

53296520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 53296520 is about 7300.4465616837. The cubic root of 53296520 is about 376.3277849355.

The spelling of 53296520 in words is "fifty-three million, two hundred ninety-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 760 874 920 1748 2185 3049 3496 4370 6098 8740 12196 15245 17480 24392 30490 57931 60980 70127 115862 121960 140254 231724 280508 289655 350635 463448 561016 579310 701270 1158620 1332413 1402540 2317240 2664826 2805080 5329652 6662065 10659304 13324130 26648260 53296520