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51714612 = 22341741229
BaseRepresentation
bin1100010101000…
…1101000110100
310121022101010000
43011101220310
5101214331422
65044231300
71165365315
oct305215064
9117271100
1051714612
1127211a54
121539b530
13a938981
146c2260c
154817cac
hex3151a34

51714612 has 120 divisors (see below), whose sum is σ = 147276360. Its totient is φ = 15759360.

The previous prime is 51714589. The next prime is 51714613. The reversal of 51714612 is 21641715.

It is a happy number.

51714612 is a `hidden beast` number, since 517 + 146 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 39012516 = 3564^2 + 6246^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51714613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 225714 + ... + 225942.

It is an arithmetic number, because the mean of its divisors is an integer number (1227303).

Almost surely, 251714612 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 51714612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73638180).

51714612 is an abundant number, since it is smaller than the sum of its proper divisors (95561748).

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

51714612 is a wasteful number, since it uses less digits than its factorization.

51714612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 51714612 is about 7191.2872283062. The cubic root of 51714612 is about 372.5670332646.

It can be divided in two parts, 51714 and 612, that added together give a triangular number (52326 = T323).

The spelling of 51714612 in words is "fifty-one million, seven hundred fourteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 81 82 102 108 123 153 162 164 204 229 246 306 324 369 458 459 492 612 687 697 738 916 918 1107 1374 1377 1394 1476 1836 2061 2091 2214 2748 2754 2788 3321 3893 4122 4182 4428 5508 6183 6273 6642 7786 8244 8364 9389 11679 12366 12546 13284 15572 18549 18778 18819 23358 24732 25092 28167 35037 37098 37556 37638 46716 56334 56457 70074 74196 75276 84501 105111 112668 112914 140148 159613 169002 210222 225828 253503 315333 319226 338004 420444 478839 507006 630666 638452 760509 957678 1014012 1261332 1436517 1521018 1915356 2873034 3042036 4309551 5746068 8619102 12928653 17238204 25857306 51714612