Search a number
-
+
50113314 = 23217389421
BaseRepresentation
bin1011111100101…
…0101100100010
310111022000112200
42333022230202
5100312111224
64550034030
71145645646
oct277125442
9114260480
1050113314
1126318969
1214948916
13a4c7b64
146926c26
1545ed5c9
hex2fcab22

50113314 has 48 divisors (see below), whose sum is σ = 115535160. Its totient is φ = 15644160.

The previous prime is 50113307. The next prime is 50113321. The reversal of 50113314 is 41331105.

It is an interprime number because it is at equal distance from previous prime (50113307) and next prime (50113321).

It can be written as a sum of positive squares in 4 ways, for example, as 27217089 + 22896225 = 5217^2 + 4785^2 .

It is a super-2 number, since 2×501133142 = 5022688480125192, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118824 + ... + 119244.

Almost surely, 250113314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50113314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57767580).

50113314 is an abundant number, since it is smaller than the sum of its proper divisors (65421846).

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

50113314 is a wasteful number, since it uses less digits than its factorization.

50113314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 50113314 is about 7079.0757871349. The cubic root of 50113314 is about 368.6812414554.

Adding to 50113314 its reverse (41331105), we get a palindrome (91444419).

The spelling of 50113314 in words is "fifty million, one hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 389 421 778 842 1167 1263 2334 2526 3501 3789 6613 7002 7157 7578 13226 14314 19839 21471 39678 42942 59517 64413 119034 128826 163769 327538 491307 982614 1473921 2784073 2947842 5568146 8352219 16704438 25056657 50113314