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4862821632 = 28344314293
BaseRepresentation
bin1001000011101100…
…01100010100000000
3110112220020221012220
410201312030110000
534424340243012
62122311051040
7231335205354
oct44166142400
913486227186
104862821632
112075a32959
12b38670a80
135c65cb966
14341b93464
151d6dab08c
hex121d8c500

4862821632 has 72 divisors (see below), whose sum is σ = 12972319584. Its totient is φ = 1617168384.

The previous prime is 4862821619. The next prime is 4862821633. The reversal of 4862821632 is 2361282684.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4862821633) by changing a digit.

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, 333078 + ... + 347370.

Almost surely, 24862821632 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 4862821632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486159792).

4862821632 is an abundant number, since it is smaller than the sum of its proper divisors (8109497952).

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

4862821632 is a wasteful number, since it uses less digits than its factorization.

4862821632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14755 (or 14741 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 4862821632 is about 69733.9345799446. The cubic root of 4862821632 is about 1694.1925981182.

The spelling of 4862821632 in words is "four billion, eight hundred sixty-two million, eight hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 443 768 886 1329 1772 2658 3544 5316 7088 10632 14176 14293 21264 28352 28586 42528 42879 56704 57172 85056 85758 113408 114344 170112 171516 228688 340224 343032 457376 686064 914752 1372128 1829504 2744256 3659008 5488512 6331799 10977024 12663598 18995397 25327196 37990794 50654392 75981588 101308784 151963176 202617568 303926352 405235136 607852704 810470272 1215705408 1620940544 2431410816 4862821632