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4680378272 = 2553252069
BaseRepresentation
bin1000101101111100…
…01110011110100000
3110002011221211222102
410112332032132200
534041134101042
62052232425532
7223661362463
oct42676163640
913064854872
104680378272
111a91a51519
12aa75482a8
135978808cb
143258612da
151c5d6db32
hex116f8e7a0

4680378272 has 36 divisors (see below), whose sum is σ = 9391813830. Its totient is φ = 2295990528.

The previous prime is 4680378253. The next prime is 4680378277. The reversal of 4680378272 is 2728730864.

It can be written as a sum of positive squares in 3 ways, for example, as 4662704656 + 17673616 = 68284^2 + 4204^2 .

It is not an unprimeable number, because it can be changed into a prime (4680378277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63854 + ... + 115922.

Almost surely, 24680378272 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 4680378272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695906915).

4680378272 is an abundant number, since it is smaller than the sum of its proper divisors (4711435558).

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

4680378272 is an equidigital number, since it uses as much as digits as its factorization.

4680378272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52185 (or 52124 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 47.

The square root of 4680378272 is about 68413.2901708433. The cubic root of 4680378272 is about 1672.7343866083.

The spelling of 4680378272 in words is "four billion, six hundred eighty million, three hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 2809 5618 11236 22472 44944 52069 89888 104138 208276 416552 833104 1666208 2759657 5519314 11038628 22077256 44154512 88309024 146261821 292523642 585047284 1170094568 2340189136 4680378272