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52806420 = 223251717257
BaseRepresentation
bin1100100101110…
…0001100010100
310200100211210100
43021130030110
5102004301140
65123454100
71210563402
oct311341424
9120324710
1052806420
1127898277
1215827330
13ac2b904
147028472
154981530
hex325c314

52806420 has 72 divisors (see below), whose sum is σ = 169611624. Its totient is φ = 13252608.

The previous prime is 52806409. The next prime is 52806433. The reversal of 52806420 is 2460825.

It can be written as a sum of positive squares in 4 ways, for example, as 1483524 + 51322896 = 1218^2 + 7164^2 .

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 23 ways as a sum of consecutive naturals, for example, 5569 + ... + 11688.

It is an arithmetic number, because the mean of its divisors is an integer number (2355717).

Almost surely, 252806420 is an apocalyptic number.

It is an amenable number.

52806420 is an abundant number, since it is smaller than the sum of its proper divisors (116805204).

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

52806420 is a wasteful number, since it uses less digits than its factorization.

52806420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17289 (or 17284 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52806420 is about 7266.8025981170. The cubic root of 52806420 is about 375.1706956229.

Subtracting from 52806420 its reverse (2460825), we obtain a triangular number (50345595 = T10034).

The spelling of 52806420 in words is "fifty-two million, eight hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 17257 34514 51771 69028 86285 103542 155313 172570 207084 258855 293369 310626 345140 517710 586738 621252 776565 880107 1035420 1173476 1466845 1553130 1760214 2640321 2933690 3106260 3520428 4400535 5280642 5867380 8801070 10561284 13201605 17602140 26403210 52806420