Search a number
-
+
4107535146 = 232111310315493
BaseRepresentation
bin1111010011010100…
…0000001100101010
3101121021001101221100
43310311000030222
531403012111041
61515330422230
7203534321061
oct36465001452
911537041840
104107535146
111818661a50
12967731976
13505ca2b90
142ad7471d8
151909176b6
hexf4d4032a

4107535146 has 96 divisors (see below), whose sum is σ = 10557735552. Its totient is φ = 1137732480.

The previous prime is 4107535141. The next prime is 4107535151. The reversal of 4107535146 is 6415357014.

4107535146 is a `hidden beast` number, since 4 + 107 + 535 + 14 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4107535141) and next prime (4107535151).

It is a self number, because there is not a number n which added to its sum of digits gives 4107535146.

It is not an unprimeable number, because it can be changed into a prime (4107535141) 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, 257376 + ... + 272868.

It is an arithmetic number, because the mean of its divisors is an integer number (109976412).

Almost surely, 24107535146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4107535146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278867776).

4107535146 is an abundant number, since it is smaller than the sum of its proper divisors (6450200406).

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

4107535146 is a wasteful number, since it uses less digits than its factorization.

4107535146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15628 (or 15625 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4107535146 is about 64090.0549695505. The cubic root of 4107535146 is about 1601.5005643870.

The spelling of 4107535146 in words is "four billion, one hundred seven million, five hundred thirty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 103 117 143 198 206 234 286 309 429 618 858 927 1133 1287 1339 1854 2266 2574 2678 3399 4017 6798 8034 10197 12051 14729 15493 20394 24102 29458 30986 44187 46479 88374 92958 132561 139437 170423 201409 265122 278874 340846 402818 511269 604227 1022538 1208454 1533807 1595779 1812681 2215499 3067614 3191558 3625362 4430998 4787337 6646497 9574674 13292994 14362011 17553569 19939491 20745127 28724022 35107138 39878982 41490254 52660707 62235381 105321414 124470762 157982121 186706143 228196397 315964242 373412286 456392794 684589191 1369178382 2053767573 4107535146