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51322920 = 23351159659
BaseRepresentation
bin1100001111001…
…0000000101000
310120120110210220
43003302000220
5101114313140
65032010040
71162144335
oct303620050
9116513726
1051322920
1126a74740
1215230920
13a82c5bc
146b5d98c
15478bbd0
hex30f2028

51322920 has 128 divisors (see below), whose sum is σ = 171072000. Its totient is φ = 12212480.

The previous prime is 51322907. The next prime is 51322927. The reversal of 51322920 is 2922315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51322927) 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, 77551 + ... + 78209.

It is an arithmetic number, because the mean of its divisors is an integer number (1336500).

Almost surely, 251322920 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 51322920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85536000).

51322920 is an abundant number, since it is smaller than the sum of its proper divisors (119749080).

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

51322920 is a wasteful number, since it uses less digits than its factorization.

51322920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 51322920 is about 7164.0016750417. The cubic root of 51322920 is about 371.6240275867.

Subtracting from 51322920 its sum of digits (24), we obtain a square (51322896 = 71642).

The spelling of 51322920 in words is "fifty-one million, three hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 59 60 66 88 110 118 120 132 165 177 220 236 264 295 330 354 440 472 590 649 659 660 708 885 1180 1298 1318 1320 1416 1770 1947 1977 2360 2596 2636 3245 3295 3540 3894 3954 5192 5272 6490 6590 7080 7249 7788 7908 9735 9885 12980 13180 14498 15576 15816 19470 19770 21747 25960 26360 28996 36245 38881 38940 39540 43494 57992 72490 77762 77880 79080 86988 108735 116643 144980 155524 173976 194405 217470 233286 289960 311048 388810 427691 434940 466572 583215 777620 855382 869880 933144 1166430 1283073 1555240 1710764 2138455 2332860 2566146 3421528 4276910 4665720 5132292 6415365 8553820 10264584 12830730 17107640 25661460 51322920