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52432848 = 24321337757
BaseRepresentation
bin1100100000000…
…0111111010000
310122122212100100
43020000333100
5101410322343
65111452400
71204446306
oct310007720
9118585310
1052432848
1127662636
1215687100
13ab2a870
146d6c276
15490a9d3
hex3200fd0

52432848 has 120 divisors (see below), whose sum is σ = 162512168. Its totient is φ = 15676416.

The previous prime is 52432829. The next prime is 52432901. The reversal of 52432848 is 84823425.

It can be written as a sum of positive squares in 4 ways, for example, as 11370384 + 41062464 = 3372^2 + 6408^2 .

It is a super-2 number, since 2×524328482 = 5498407098782208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68886 + ... + 69642.

Almost surely, 252432848 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 52432848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81256084).

52432848 is an abundant number, since it is smaller than the sum of its proper divisors (110079320).

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

52432848 is a wasteful number, since it uses less digits than its factorization.

52432848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 52432848 is about 7241.0529621043. The cubic root of 52432848 is about 374.2839027497.

The spelling of 52432848 in words is "fifty-two million, four hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 37 39 48 52 72 74 78 104 111 117 144 148 156 208 222 234 296 312 333 444 468 481 592 624 666 757 888 936 962 1332 1443 1514 1776 1872 1924 2271 2664 2886 3028 3848 4329 4542 5328 5772 6056 6813 7696 8658 9084 9841 11544 12112 13626 17316 18168 19682 23088 27252 28009 29523 34632 36336 39364 54504 56018 59046 69264 78728 84027 88569 109008 112036 118092 157456 168054 177138 224072 236184 252081 336108 354276 364117 448144 472368 504162 672216 708552 728234 1008324 1092351 1344432 1417104 1456468 2016648 2184702 2912936 3277053 4033296 4369404 5825872 6554106 8738808 13108212 17477616 26216424 52432848