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52102314 = 232111723673
BaseRepresentation
bin1100011011000…
…0010010101010
310122001001221100
43012300102222
5101314233224
65100422230
71201601535
oct306602252
9118031840
1052102314
1127457270
1215547976
13aa43294
146cc3a1c
154892ac9
hex31b04aa

52102314 has 96 divisors (see below), whose sum is σ = 136266624. Its totient is φ = 14192640.

The previous prime is 52102307. The next prime is 52102319. The reversal of 52102314 is 41320125.

It is a super-2 number, since 2×521023142 = 5429302248309192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (52102319) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 77082 + ... + 77754.

It is an arithmetic number, because the mean of its divisors is an integer number (1419444).

Almost surely, 252102314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52102314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68133312).

52102314 is an abundant number, since it is smaller than the sum of its proper divisors (84164310).

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

52102314 is a wasteful number, since it uses less digits than its factorization.

52102314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52102314 is about 7218.1932642456. The cubic root of 52102314 is about 373.4957553966.

Adding to 52102314 its reverse (41320125), we get a palindrome (93422439).

The spelling of 52102314 in words is "fifty-two million, one hundred two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 23 33 34 46 51 66 69 99 102 138 153 187 198 207 253 306 374 391 414 506 561 673 759 782 1122 1173 1346 1518 1683 2019 2277 2346 3366 3519 4038 4301 4554 6057 7038 7403 8602 11441 12114 12903 14806 15479 22209 22882 25806 30958 34323 38709 44418 46437 66627 68646 77418 92874 102969 125851 133254 139311 170269 205938 251702 263143 278622 340538 377553 510807 526286 755106 789429 1021614 1132659 1532421 1578858 2265318 2368287 2894573 3064842 4736574 5789146 8683719 17367438 26051157 52102314