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51456340 = 22513197909
BaseRepresentation
bin1100010001001…
…0100101010100
310120211020211101
43010102211110
5101133100330
65034515444
71163241325
oct304224524
9116736741
1051456340
1127055a01
1215295b84
13a878250
146b9644c
1547b64ca
hex3112954

51456340 has 24 divisors (see below), whose sum is σ = 116371080. Its totient is φ = 18999168.

The previous prime is 51456299. The next prime is 51456341. The reversal of 51456340 is 4365415.

It can be written as a sum of positive squares in 4 ways, for example, as 248004 + 51208336 = 498^2 + 7156^2 .

It is a super-3 number, since 3×514563403 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51456299 and 51456308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51456341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98695 + ... + 99214.

It is an arithmetic number, because the mean of its divisors is an integer number (4848795).

Almost surely, 251456340 is an apocalyptic number.

It is an amenable number.

51456340 is an abundant number, since it is smaller than the sum of its proper divisors (64914740).

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

51456340 is a wasteful number, since it uses less digits than its factorization.

51456340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197931 (or 197929 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 51456340 is about 7173.3074658765. The cubic root of 51456340 is about 371.9457758094.

The spelling of 51456340 in words is "fifty-one million, four hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 197909 395818 791636 989545 1979090 2572817 3958180 5145634 10291268 12864085 25728170 51456340