Search a number
-
+
4006921932 = 2234131950069
BaseRepresentation
bin1110111011010100…
…1100011011001100
3101100020201201120000
43232311030123030
531201233000212
61501334124300
7201203163066
oct35665143314
911306651500
104006921932
111776891832
12939ab0690
134bb1a6230
142a0236736
15186b911dc
hexeed4c6cc

4006921932 has 120 divisors (see below), whose sum is σ = 11874601200. Its totient is φ = 1167986304.

The previous prime is 4006921927. The next prime is 4006921937. The reversal of 4006921932 is 2391296004.

4006921932 is a `hidden beast` number, since 400 + 6 + 9 + 219 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (4006921927) and next prime (4006921937).

It is a super-2 number, since 2×40069219322 = 32110846738285225248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4006921937) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54994 + ... + 105062.

It is an arithmetic number, because the mean of its divisors is an integer number (98955010).

Almost surely, 24006921932 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 4006921932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937300600).

4006921932 is an abundant number, since it is smaller than the sum of its proper divisors (7867679268).

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

4006921932 is a wasteful number, since it uses less digits than its factorization.

4006921932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50117 (or 50106 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4006921932 is about 63300.2522269856. The cubic root of 4006921932 is about 1588.3161811441.

It can be divided in two parts, 40069 and 21932, that added together give a square (62001 = 2492).

The spelling of 4006921932 in words is "four billion, six million, nine hundred twenty-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 228 234 247 324 342 351 468 494 513 684 702 741 988 1026 1053 1404 1482 1539 2052 2106 2223 2964 3078 4212 4446 6156 6669 8892 13338 20007 26676 40014 50069 80028 100138 150207 200276 300414 450621 600828 650897 901242 951311 1301794 1351863 1802484 1902622 1952691 2603588 2703726 2853933 3805244 3905382 4055589 5407452 5707866 5858073 7810764 8111178 8561799 11415732 11716146 12367043 16222356 17123598 17574219 23432292 24734086 25685397 34247196 35148438 37101129 49468172 51370794 52722657 70296876 74202258 77056191 102741588 105445314 111303387 148404516 154112382 210890628 222606774 308224764 333910161 445213548 667820322 1001730483 1335640644 2003460966 4006921932