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51925440 = 263577727
BaseRepresentation
bin1100011000010…
…1000111000000
310121201002022110
43012011013000
5101243103230
65052535320
71200234060
oct306050700
9117632273
1051925440
1127346396
1215481540
13a9b0918
146c793a0
15485a4b0
hex31851c0

51925440 has 112 divisors (see below), whose sum is σ = 188439552. Its totient is φ = 11867136.

The previous prime is 51925439. The next prime is 51925453. The reversal of 51925440 is 4452915.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 51925398 and 51925407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2857 + ... + 10583.

It is an arithmetic number, because the mean of its divisors is an integer number (1682496).

Almost surely, 251925440 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 51925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94219776).

51925440 is an abundant number, since it is smaller than the sum of its proper divisors (136514112).

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

51925440 is a wasteful number, since it uses less digits than its factorization.

51925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754 (or 7744 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 51925440 is about 7205.9308905928. The cubic root of 51925440 is about 373.0726354579.

The spelling of 51925440 in words is "fifty-one million, nine hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 7727 15454 23181 30908 38635 46362 54089 61816 77270 92724 108178 115905 123632 154540 162267 185448 216356 231810 247264 270445 309080 324534 370896 432712 463620 494528 540890 618160 649068 741792 811335 865424 927240 1081780 1236320 1298136 1483584 1622670 1730848 1854480 2163560 2472640 2596272 3245340 3461696 3708960 4327120 5192544 6490680 7417920 8654240 10385088 12981360 17308480 25962720 51925440