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51254300440 = 23571911385259
BaseRepresentation
bin101111101110111111…
…101000111100011000
311220022000000020100201
4233232333220330120
51314432100103230
635313525311544
73463062236230
oct575677507430
9156260006321
1051254300440
111a811797592
129b24b655b4
134aaa896b35
1426a3156cc0
1514eea595ca
hexbeefe8f18

51254300440 has 128 divisors (see below), whose sum is σ = 139962816000. Its totient is φ = 16500492288.

The previous prime is 51254300423. The next prime is 51254300483. The reversal of 51254300440 is 4400345215.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 51254300399 and 51254300408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558531 + ... + 643789.

It is an arithmetic number, because the mean of its divisors is an integer number (1093459500).

Almost surely, 251254300440 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 51254300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69981408000).

51254300440 is an abundant number, since it is smaller than the sum of its proper divisors (88708515560).

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

51254300440 is a wasteful number, since it uses less digits than its factorization.

51254300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85409 (or 85405 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 51254300440 its reverse (4400345215), we get a palindrome (55654645655).

The spelling of 51254300440 in words is "fifty-one billion, two hundred fifty-four million, three hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 113 133 140 152 190 226 266 280 380 452 532 565 665 760 791 904 1064 1130 1330 1582 2147 2260 2660 3164 3955 4294 4520 5320 6328 7910 8588 10735 15029 15820 17176 21470 30058 31640 42940 60116 75145 85259 85880 120232 150290 170518 300580 341036 426295 596813 601160 682072 852590 1193626 1619921 1705180 2387252 2984065 3239842 3410360 4774504 5968130 6479684 8099605 9634267 11339447 11936260 12959368 16199210 19268534 22678894 23872520 32398420 38537068 45357788 48171335 56697235 64796840 67439869 77074136 90715576 96342670 113394470 134879738 183051073 192685340 226788940 269759476 337199345 366102146 385370680 453577880 539518952 674398690 732204292 915255365 1281357511 1348797380 1464408584 1830510730 2562715022 2697594760 3661021460 5125430044 6406787555 7322042920 10250860088 12813575110 25627150220 51254300440