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52034580 = 223251337601
BaseRepresentation
bin1100011001111…
…1110000010100
310121220122000200
43012133300110
5101310101310
65055140500
71201200213
oct306376024
9117818020
1052034580
1127410394
1215514730
13aa1b4c0
146ca707a
15487c9c0
hex319fc14

52034580 has 144 divisors (see below), whose sum is σ = 174864144. Its totient is φ = 12441600.

The previous prime is 52034573. The next prime is 52034611. The reversal of 52034580 is 8543025.

52034580 is a `hidden beast` number, since 5 + 203 + 458 + 0 = 666.

52034580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1140624 + 50893956 = 1068^2 + 7134^2 .

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 86280 + ... + 86880.

Almost surely, 252034580 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 52034580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87432072).

52034580 is an abundant number, since it is smaller than the sum of its proper divisors (122829564).

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

52034580 is a wasteful number, since it uses less digits than its factorization.

52034580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 52034580 is about 7213.4998440424. The cubic root of 52034580 is about 373.3338346790. Note that the first 3 decimals are identical.

The spelling of 52034580 in words is "fifty-two million, thirty-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 65 74 78 90 111 117 130 148 156 180 185 195 222 234 260 333 370 390 444 468 481 555 585 601 666 740 780 962 1110 1170 1202 1332 1443 1665 1803 1924 2220 2340 2404 2405 2886 3005 3330 3606 4329 4810 5409 5772 6010 6660 7212 7215 7813 8658 9015 9620 10818 12020 14430 15626 17316 18030 21636 21645 22237 23439 27045 28860 31252 36060 39065 43290 44474 46878 54090 66711 70317 78130 86580 88948 93756 108180 111185 117195 133422 140634 156260 200133 222370 234390 266844 281268 289081 333555 351585 400266 444740 468780 578162 667110 703170 800532 867243 1000665 1156324 1334220 1406340 1445405 1734486 2001330 2601729 2890810 3468972 4002660 4336215 5203458 5781620 8672430 10406916 13008645 17344860 26017290 52034580