Search a number
-
+
52314816 = 26353297
BaseRepresentation
bin1100011110010…
…0001011000000
310122102212102210
43013210023000
5101343033231
65105142120
71203445221
oct307441300
9118385383
1052314816
1127591994
121562a940
13aab8c18
146d3b248
1548d5a46
hex31e42c0

52314816 has 84 divisors (see below), whose sum is σ = 142531592. Its totient is φ = 16932864.

The previous prime is 52314799. The next prime is 52314841. The reversal of 52314816 is 61841325.

It is a super-2 number, since 2×523148162 = 5473679946227712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539280 + ... + 539376.

Almost surely, 252314816 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 52314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71265796).

52314816 is an abundant number, since it is smaller than the sum of its proper divisors (90216776).

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

52314816 is an equidigital number, since it uses as much as digits as its factorization.

52314816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 155 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 52314816 is about 7232.8981743144. The cubic root of 52314816 is about 374.0028405896.

The spelling of 52314816 in words is "fifty-two million, three hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 97 106 159 192 194 212 291 318 388 424 582 636 776 848 1164 1272 1552 1696 2328 2544 2809 3104 3392 4656 5088 5141 5618 6208 8427 9312 10176 10282 11236 15423 16854 18624 20564 22472 30846 33708 41128 44944 61692 67416 82256 89888 123384 134832 164512 179776 246768 269664 272473 329024 493536 539328 544946 817419 987072 1089892 1634838 2179784 3269676 4359568 6539352 8719136 13078704 17438272 26157408 52314816