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51768320 = 210510111
BaseRepresentation
bin1100010101111…
…0110000000000
310121102002210012
43011132300000
5101223041240
65045324052
71166011022
oct305366000
9117362705
1051768320
112724933a
1215406628
13a957256
146c38012
154828b65
hex315ec00

51768320 has 44 divisors (see below), whose sum is σ = 124195584. Its totient is φ = 20705280.

The previous prime is 51768289. The next prime is 51768323. The reversal of 51768320 is 2386715.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (51768323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65 + ... + 10175.

Almost surely, 251768320 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 51768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62097792).

51768320 is an abundant number, since it is smaller than the sum of its proper divisors (72427264).

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

51768320 is a wasteful number, since it uses less digits than its factorization.

51768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10136 (or 10118 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 51768320 is about 7195.0205003183. The cubic root of 51768320 is about 372.6959646336.

The spelling of 51768320 in words is "fifty-one million, seven hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 10111 20222 40444 50555 80888 101110 161776 202220 323552 404440 647104 808880 1294208 1617760 2588416 3235520 5176832 6471040 10353664 12942080 25884160 51768320