Search a number
-
+
51274200 = 2335297881
BaseRepresentation
bin1100001110011…
…0000111011000
310120110222222110
43003212013120
5101111233300
65030552320
71161552315
oct303460730
9116428873
1051274200
1126a4107a
12152086a0
13a813383
146b49d0c
15477c550
hex30e61d8

51274200 has 96 divisors (see below), whose sum is σ = 160770960. Its totient is φ = 13516800.

The previous prime is 51274187. The next prime is 51274207. The reversal of 51274200 is 247215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51274207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57760 + ... + 58640.

Almost surely, 251274200 is an apocalyptic number.

51274200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51274200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80385480).

51274200 is an abundant number, since it is smaller than the sum of its proper divisors (109496760).

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

51274200 is a wasteful number, since it uses less digits than its factorization.

51274200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 51274200 is about 7160.6005334748. The cubic root of 51274200 is about 371.5063981745.

The spelling of 51274200 in words is "fifty-one million, two hundred seventy-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 150 194 200 291 300 388 485 582 600 776 881 970 1164 1455 1762 1940 2328 2425 2643 2910 3524 3880 4405 4850 5286 5820 7048 7275 8810 9700 10572 11640 13215 14550 17620 19400 21144 22025 26430 29100 35240 44050 52860 58200 66075 85457 88100 105720 132150 170914 176200 256371 264300 341828 427285 512742 528600 683656 854570 1025484 1281855 1709140 2050968 2136425 2563710 3418280 4272850 5127420 6409275 8545700 10254840 12818550 17091400 25637100 51274200