Search a number
-
+
51695028 = 2232711171097
BaseRepresentation
bin1100010100110…
…0110110110100
310121021101020200
43011030312310
5101213220103
65044000500
71165254240
oct305146664
9117241220
1051695028
11271a9270
1215390130
13a92ca98
146c19420
1548120a3
hex314cdb4

51695028 has 144 divisors (see below), whose sum is σ = 172658304. Its totient is φ = 12625920.

The previous prime is 51695003. The next prime is 51695041. The reversal of 51695028 is 82059615.

It is a happy number.

51695028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 51694983 and 51695001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46576 + ... + 47672.

It is an arithmetic number, because the mean of its divisors is an integer number (1199016).

Almost surely, 251695028 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 51695028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86329152).

51695028 is an abundant number, since it is smaller than the sum of its proper divisors (120963276).

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

51695028 is a wasteful number, since it uses less digits than its factorization.

51695028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 51695028 is about 7189.9254516302. The cubic root of 51695028 is about 372.5199977253.

The spelling of 51695028 in words is "fifty-one million, six hundred ninety-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1097 1122 1309 1386 1428 1683 2142 2194 2244 2618 2772 3291 3366 3927 4284 4388 5236 6582 6732 7679 7854 9873 11781 12067 13164 15358 15708 18649 19746 23037 23562 24134 30716 36201 37298 39492 46074 47124 48268 55947 69111 72402 74596 84469 92148 108603 111894 130543 138222 144804 167841 168938 205139 217206 223788 253407 261086 276444 335682 337876 391629 410278 434412 506814 522172 615417 671364 760221 783258 820556 1013628 1174887 1230834 1435973 1520442 1566516 1846251 2349774 2461668 2871946 3040884 3692502 4307919 4699548 5743892 7385004 8615838 12923757 17231676 25847514 51695028