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4862664040 = 23513355333
BaseRepresentation
bin1001000011101011…
…00101110101101000
3110112212221221001011
410201311211311220
534424320222130
62122303433304
7231333651043
oct44165456550
913485857034
104862664040
112075935513
12b385b5834
135c6575000
14341b51c5a
151d6d7952a
hex121d65d68

4862664040 has 64 divisors (see below), whose sum is σ = 11852542800. Its totient is φ = 1795412736.

The previous prime is 4862664031. The next prime is 4862664041. The reversal of 4862664040 is 404662684.

It can be written as a sum of positive squares in 8 ways, for example, as 888874596 + 3973789444 = 29814^2 + 63038^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4862663984 and 4862664002.

It is not an unprimeable number, because it can be changed into a prime (4862664041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60214 + ... + 115546.

Almost surely, 24862664040 is an apocalyptic number.

4862664040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4862664040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926271400).

4862664040 is an abundant number, since it is smaller than the sum of its proper divisors (6989878760).

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

4862664040 is a wasteful number, since it uses less digits than its factorization.

4862664040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55383 (or 55353 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 4862664040 is about 69732.8046187732. The cubic root of 4862664040 is about 1694.1742963925.

The spelling of 4862664040 in words is "four billion, eight hundred sixty-two million, six hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 2197 3380 4394 6760 8788 10985 17576 21970 43940 55333 87880 110666 221332 276665 442664 553330 719329 1106660 1438658 2213320 2877316 3596645 5754632 7193290 9351277 14386580 18702554 28773160 37405108 46756385 74810216 93512770 121566601 187025540 243133202 374051080 486266404 607833005 972532808 1215666010 2431332020 4862664040