Search a number
-
+
4123403232 = 2531314932213
BaseRepresentation
bin1111010111000110…
…0010001111100000
3101122100220120212020
43311301202033200
531421042400412
61521054501440
7204116230524
oct36561421740
911570816766
104123403232
11182660a973
12970b04880
1350936a690
142b18b7d84
15191eee18c
hexf5c623e0

4123403232 has 96 divisors (see below), whose sum is σ = 11669622048. Its totient is φ = 1267316736.

The previous prime is 4123403213. The next prime is 4123403287. The reversal of 4123403232 is 2323043214.

4123403232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1862158 + ... + 1864370.

It is an arithmetic number, because the mean of its divisors is an integer number (121558563).

Almost surely, 24123403232 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 4123403232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5834811024).

4123403232 is an abundant number, since it is smaller than the sum of its proper divisors (7546218816).

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

4123403232 is a wasteful number, since it uses less digits than its factorization.

4123403232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4123403232 is about 64213.7308680939. The cubic root of 4123403232 is about 1603.5602013947.

Adding to 4123403232 its reverse (2323043214), we get a palindrome (6446446446).

The spelling of 4123403232 in words is "four billion, one hundred twenty-three million, four hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1493 2213 2986 4426 4479 5972 6639 8852 8958 11944 13278 17704 17916 19409 23888 26556 28769 35408 35832 38818 47776 53112 57538 58227 70816 71664 77636 86307 106224 115076 116454 143328 155272 172614 212448 230152 232908 310544 345228 460304 465816 621088 690456 920608 931632 1380912 1863264 2761824 3304009 6608018 9912027 13216036 19824054 26432072 39648108 42952117 52864144 79296216 85904234 105728288 128856351 158592432 171808468 257712702 317184864 343616936 515425404 687233872 1030850808 1374467744 2061701616 4123403232