Search a number
-
+
51314172 = 2237413137
BaseRepresentation
bin1100001110111…
…1110111111100
310120120000210220
43003233313330
5101114023142
65031501340
71162110000
oct303576774
9116500726
1051314172
1126a69108
1215227850
13a828620
146b5a700
1547892ec
hex30efdfc

51314172 has 120 divisors (see below), whose sum is σ = 151522896. Its totient is φ = 13434624.

The previous prime is 51314167. The next prime is 51314183. The reversal of 51314172 is 27141315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 374488 + ... + 374624.

Almost surely, 251314172 is an apocalyptic number.

51314172 is a gapful number since it is divisible by the number (52) 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 51314172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75761448).

51314172 is an abundant number, since it is smaller than the sum of its proper divisors (100208724).

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

51314172 is a wasteful number, since it uses less digits than its factorization.

51314172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 51314172 is about 7163.3910964012. The cubic root of 51314172 is about 371.6029119284.

Adding to 51314172 its reverse (27141315), we get a palindrome (78455487).

The spelling of 51314172 in words is "fifty-one million, three hundred fourteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 137 147 156 182 196 273 274 294 343 364 411 546 548 588 637 686 822 959 1029 1092 1274 1372 1644 1781 1911 1918 2058 2401 2548 2877 3562 3822 3836 4116 4459 4802 5343 5754 6713 7124 7203 7644 8918 9604 10686 11508 12467 13377 13426 14406 17836 20139 21372 24934 26754 26852 28812 31213 37401 40278 46991 49868 53508 62426 74802 80556 87269 93639 93982 124852 140973 149604 174538 187278 187964 261807 281946 328937 349076 374556 523614 563892 610883 657874 986811 1047228 1221766 1315748 1832649 1973622 2443532 3665298 3947244 4276181 7330596 8552362 12828543 17104724 25657086 51314172