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51709240 = 235111731223
BaseRepresentation
bin1100010101000…
…0010100111000
310121022002202001
43011100110320
5101214143430
65044150344
71165343542
oct305202470
9117262661
1051709240
1127208a10
12153983b4
13a9363ab
146c20692
1548163ca
hex3150538

51709240 has 128 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 17049600.

The previous prime is 51709211. The next prime is 51709253. The reversal of 51709240 is 4290715.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 51709199 and 51709208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231769 + ... + 231991.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 251709240 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 51709240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

51709240 is an abundant number, since it is smaller than the sum of its proper divisors (87636680).

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

51709240 is a wasteful number, since it uses less digits than its factorization.

51709240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 51709240 is about 7190.9137110662. The cubic root of 51709240 is about 372.5541323369.

Adding to 51709240 its reverse (4290715), we get a palindrome (55999955).

The spelling of 51709240 in words is "fifty-one million, seven hundred nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 31 34 40 44 55 62 68 85 88 110 124 136 155 170 187 220 223 248 310 340 341 374 440 446 527 620 680 682 748 892 935 1054 1115 1240 1364 1496 1705 1784 1870 2108 2230 2453 2635 2728 3410 3740 3791 4216 4460 4906 5270 5797 6820 6913 7480 7582 8920 9812 10540 11594 12265 13640 13826 15164 18955 19624 21080 23188 24530 27652 28985 30328 34565 37910 41701 46376 49060 55304 57970 69130 75820 76043 83402 98120 115940 117521 138260 151640 152086 166804 208505 231880 235042 276520 304172 333608 380215 417010 470084 587605 608344 760430 834020 940168 1175210 1292731 1520860 1668040 2350420 2585462 3041720 4700840 5170924 6463655 10341848 12927310 25854620 51709240