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52810240 = 29572421
BaseRepresentation
bin1100100101110…
…1001000000000
310200101001000211
43021131020000
5102004411430
65123523504
71210610500
oct311351000
9120331024
1052810240
11278a012a
1215829594
13ac30582
147029a00
15498272a
hex325d200

52810240 has 120 divisors (see below), whose sum is σ = 147643452. Its totient is φ = 18063360.

The previous prime is 52810237. The next prime is 52810249. The reversal of 52810240 is 4201825.

It can be written as a sum of positive squares in 2 ways, for example, as 43665664 + 9144576 = 6608^2 + 3024^2 .

It is not an unprimeable number, because it can be changed into a prime (52810249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125230 + ... + 125650.

Almost surely, 252810240 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 52810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73821726).

52810240 is an abundant number, since it is smaller than the sum of its proper divisors (94833212).

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

52810240 is an equidigital number, since it uses as much as digits as its factorization.

52810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 52810240 is about 7267.0654324837. The cubic root of 52810240 is about 375.1797419819.

The spelling of 52810240 in words is "fifty-two million, eight hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 421 448 490 512 560 640 784 842 896 980 1120 1280 1568 1684 1792 1960 2105 2240 2560 2947 3136 3368 3584 3920 4210 4480 5894 6272 6736 7840 8420 8960 11788 12544 13472 14735 15680 16840 17920 20629 23576 25088 26944 29470 31360 33680 41258 47152 53888 58940 62720 67360 82516 94304 103145 107776 117880 125440 134720 165032 188608 206290 215552 235760 269440 330064 377216 412580 471520 538880 660128 754432 825160 943040 1077760 1320256 1508864 1650320 1886080 2640512 3300640 3772160 5281024 6601280 7544320 10562048 13202560 26405120 52810240