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51520 = 265723
BaseRepresentation
bin1100100101000000
32121200011
430211000
53122040
61034304
7303130
oct144500
977604
1051520
1135787
1225994
131a5b1
1414ac0
15103ea
hexc940

51520 has 56 divisors (see below), whose sum is σ = 146304. Its totient is φ = 16896.

The previous prime is 51517. The next prime is 51521. The reversal of 51520 is 2515.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 51520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2229 + ... + 2251.

251520 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 51520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73152).

51520 is an abundant number, since it is smaller than the sum of its proper divisors (94784).

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

51520 is a wasteful number, since it uses less digits than its factorization.

51520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 51520 is about 226.9801753458. The cubic root of 51520 is about 37.2099098738.

It can be divided in two parts, 515 and 20, that added together give a palindrome (535).

The spelling of 51520 in words is "fifty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 448 460 560 644 736 805 920 1120 1288 1472 1610 1840 2240 2576 3220 3680 5152 6440 7360 10304 12880 25760 51520