Search a number
-
+
4742001306 = 23477357283
BaseRepresentation
bin1000110101010010…
…10011001010011010
3110020110220121220000
410122221103022122
534202423020211
62102313313430
7225340226460
oct43251231232
913213817800
104742001306
112013810849
12b04105876
135a7578543
1432db02830
151cb492656
hex11aa5329a

4742001306 has 80 divisors (see below), whose sum is σ = 12310102464. Its totient is φ = 1336274496.

The previous prime is 4742001293. The next prime is 4742001349. The reversal of 4742001306 is 6031002474.

It is a super-2 number, since 2×47420013062 = 44973152772211411272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4742001306.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54141 + ... + 111423.

Almost surely, 24742001306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4742001306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155051232).

4742001306 is an abundant number, since it is smaller than the sum of its proper divisors (7568101158).

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

4742001306 is a wasteful number, since it uses less digits than its factorization.

4742001306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57377 (or 57368 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4742001306 is about 68862.1906854553. The cubic root of 4742001306 is about 1680.0436149391.

The spelling of 4742001306 in words is "four billion, seven hundred forty-two million, one thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 81 126 146 162 189 219 378 438 511 567 657 1022 1134 1314 1533 1971 3066 3942 4599 5913 9198 11826 13797 27594 41391 57283 82782 114566 171849 343698 400981 515547 801962 1031094 1202943 1546641 2405886 3093282 3608829 4181659 4639923 7217658 8363318 9279846 10826487 12544977 21652974 25089954 29271613 32479461 37634931 58543226 64958922 75269862 87814839 112904793 175629678 225809586 263444517 338714379 526889034 677428758 790333551 1580667102 2371000653 4742001306