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4731272406 = 2327833891163
BaseRepresentation
bin1000110100000000…
…10111110011010110
3110012201201112121100
410122000113303112
534142201204111
62101251330530
7225150103050
oct43200276326
913181645540
104731272406
112008752a93
12b005b0a46
135a528cc93
1432c50c8d0
151ca573756
hex11a017cd6

4731272406 has 96 divisors (see below), whose sum is σ = 11897383680. Its totient is φ = 1330926912.

The previous prime is 4731272389. The next prime is 4731272407. The reversal of 4731272406 is 6042721374.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4731272407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4067581 + ... + 4068743.

It is an arithmetic number, because the mean of its divisors is an integer number (123931080).

Almost surely, 24731272406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4731272406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948691840).

4731272406 is an abundant number, since it is smaller than the sum of its proper divisors (7166111274).

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

4731272406 is a wasteful number, since it uses less digits than its factorization.

4731272406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4731272406 is about 68784.2453327795. The cubic root of 4731272406 is about 1678.7756108544.

The spelling of 4731272406 in words is "four billion, seven hundred thirty-one million, two hundred seventy-two thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 389 498 581 747 778 1162 1163 1167 1494 1743 2326 2334 2723 3486 3489 3501 5229 5446 6978 7002 8141 8169 10458 10467 16282 16338 20934 24423 24507 32287 48846 49014 64574 73269 96529 96861 146538 193058 193722 226009 289587 290583 452018 452407 579174 581166 675703 678027 868761 904814 1351406 1356054 1357221 1737522 2027109 2034081 2714442 3166849 4054218 4068162 4071663 6081327 6333698 8143326 9500547 12162654 19001094 28501641 37549781 57003282 75099562 112649343 225298686 262848467 337948029 525696934 675896058 788545401 1577090802 2365636203 4731272406