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51012444 = 223717139257
BaseRepresentation
bin1100001010011…
…0001101011100
310112222200220210
43002212031130
5101024344234
65021212420
71156412220
oct302461534
9115880823
1051012444
112688244a
1215101110
13a7511a2
146abc780
154729be9
hex30a635c

51012444 has 96 divisors (see below), whose sum is σ = 145635840. Its totient is φ = 13565952.

The previous prime is 51012443. The next prime is 51012457. The reversal of 51012444 is 44421015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 51012444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51012443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198364 + ... + 198620.

It is an arithmetic number, because the mean of its divisors is an integer number (1517040).

Almost surely, 251012444 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 51012444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72817920).

51012444 is an abundant number, since it is smaller than the sum of its proper divisors (94623396).

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

51012444 is a wasteful number, since it uses less digits than its factorization.

51012444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 51012444 is about 7142.2996296711. The cubic root of 51012444 is about 370.8731363692.

Adding to 51012444 its reverse (44421015), we get a palindrome (95433459).

The spelling of 51012444 in words is "fifty-one million, twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 139 204 238 257 278 357 417 476 514 556 714 771 834 973 1028 1428 1542 1668 1799 1946 2363 2919 3084 3598 3892 4369 4726 5397 5838 7089 7196 8738 9452 10794 11676 13107 14178 16541 17476 21588 26214 28356 30583 33082 35723 49623 52428 61166 66164 71446 91749 99246 107169 122332 142892 183498 198492 214338 250061 366996 428676 500122 607291 750183 1000244 1214582 1500366 1821873 2429164 3000732 3643746 4251037 7287492 8502074 12753111 17004148 25506222 51012444