Search a number
-
+
51817428 = 223313217167
BaseRepresentation
bin1100010110101…
…0101111010100
310121111121011000
43011222233110
5101231124203
65050343300
71166304135
oct305525724
9117447130
1051817428
1127282223
121542ab30
13a973700
146c4bc8c
1548384a3
hex316abd4

51817428 has 144 divisors (see below), whose sum is σ = 154949760. Its totient is φ = 14916096.

The previous prime is 51817421. The next prime is 51817429. The reversal of 51817428 is 82471815.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51817392 and 51817401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51817421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310201 + ... + 310367.

It is an arithmetic number, because the mean of its divisors is an integer number (1076040).

Almost surely, 251817428 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 51817428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77474880).

51817428 is an abundant number, since it is smaller than the sum of its proper divisors (103132332).

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

51817428 is a wasteful number, since it uses less digits than its factorization.

51817428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 51817428 is about 7198.4323293339. The cubic root of 51817428 is about 372.8137752252.

The spelling of 51817428 in words is "fifty-one million, eight hundred seventeen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 167 169 204 221 234 306 334 338 351 442 459 468 501 507 612 663 668 676 702 884 918 1002 1014 1326 1404 1503 1521 1836 1989 2004 2028 2171 2652 2839 2873 3006 3042 3978 4342 4509 4563 5678 5746 5967 6012 6084 6513 7956 8517 8619 8684 9018 9126 11356 11492 11934 13026 17034 17238 18036 18252 19539 23868 25551 25857 26052 28223 34068 34476 36907 39078 51102 51714 56446 58617 73814 76653 77571 78156 84669 102204 103428 110721 112892 117234 147628 153306 155142 169338 221442 234468 254007 306612 310284 332163 338676 442884 479791 508014 664326 762021 959582 996489 1016028 1328652 1439373 1524042 1919164 1992978 2878746 3048084 3985956 4318119 5757492 8636238 12954357 17272476 25908714 51817428