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51207808 = 2717101233
BaseRepresentation
bin1100001101010…
…1111010000000
310120100121220111
43003111322000
5101102122213
65025321104
71161154621
oct303257200
9116317814
1051207808
11269a6203
1215196194
13a7bc0a2
146b2da48
154767a3d
hex30d5e80

51207808 has 64 divisors (see below), whose sum is σ = 109554120. Its totient is φ = 23756800.

The previous prime is 51207799. The next prime is 51207817. The reversal of 51207808 is 80870215.

It is an interprime number because it is at equal distance from previous prime (51207799) and next prime (51207817).

It can be written as a sum of positive squares in 4 ways, for example, as 50580544 + 627264 = 7112^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 51207808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219660 + ... + 219892.

Almost surely, 251207808 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 51207808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54777060).

51207808 is an abundant number, since it is smaller than the sum of its proper divisors (58346312).

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

51207808 is a wasteful number, since it uses less digits than its factorization.

51207808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 51207808 is about 7155.9631077864. The cubic root of 51207808 is about 371.3459815242.

The spelling of 51207808 in words is "fifty-one million, two hundred seven thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 128 136 202 233 272 404 466 544 808 932 1088 1616 1717 1864 2176 3232 3434 3728 3961 6464 6868 7456 7922 12928 13736 14912 15844 23533 27472 29824 31688 47066 54944 63376 94132 109888 126752 188264 219776 253504 376528 400061 507008 753056 800122 1506112 1600244 3012224 3200488 6400976 12801952 25603904 51207808