Search a number
-
+
4621332132 = 22322324123159
BaseRepresentation
bin1000100110111001…
…11110111010100100
3102221001211222220100
410103130332322210
533431030112012
62042323104100
7222343450344
oct42334767244
912831758810
104621332132
111a6169225a
12a8b812030
13588578b71
1431ba90d24
151c0aa88dc
hex11373eea4

4621332132 has 72 divisors (see below), whose sum is σ = 12240708480. Its totient is φ = 1467290880.

The previous prime is 4621332113. The next prime is 4621332151. The reversal of 4621332132 is 2312331264.

4621332132 is a `hidden beast` number, since 4 + 621 + 3 + 3 + 2 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (4621332113) and next prime (4621332151).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4621332096 and 4621332105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187969 + ... + 211127.

It is an arithmetic number, because the mean of its divisors is an integer number (170009840).

Almost surely, 24621332132 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 4621332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120354240).

4621332132 is an abundant number, since it is smaller than the sum of its proper divisors (7619376348).

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

4621332132 is a wasteful number, since it uses less digits than its factorization.

4621332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23433 (or 23428 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 4621332132 is about 67980.3804931982. The cubic root of 4621332132 is about 1665.6703715074.

Adding to 4621332132 its reverse (2312331264), we get a palindrome (6933663396).

The spelling of 4621332132 in words is "four billion, six hundred twenty-one million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 241 276 414 482 723 828 964 1446 2169 2892 4338 5543 8676 11086 16629 22172 23159 33258 46318 49887 66516 69477 92636 99774 138954 199548 208431 277908 416862 532657 833724 1065314 1597971 2130628 3195942 4793913 5581319 6391884 9587826 11162638 16743957 19175652 22325276 33487914 50231871 66975828 100463742 128370337 200927484 256740674 385111011 513481348 770222022 1155333033 1540444044 2310666066 4621332132