Search a number
-
+
4401400152 = 2332322934819
BaseRepresentation
bin1000001100101100…
…00000100101011000
3102100202000021221110
410012112000211120
533003224301102
62004425140320
7214033166262
oct40626004530
912322007843
104401400152
111959526096
12a2a02a6a0
13551b333b6
142da7a0b32
151ab61386c
hex106580958

4401400152 has 64 divisors (see below), whose sum is σ = 11532384000. Its totient is φ = 1397176704.

The previous prime is 4401400139. The next prime is 4401400153. The reversal of 4401400152 is 2510041044.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4401400153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108999 + ... + 143817.

It is an arithmetic number, because the mean of its divisors is an integer number (180193500).

Almost surely, 24401400152 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 4401400152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766192000).

4401400152 is an abundant number, since it is smaller than the sum of its proper divisors (7130983848).

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

4401400152 is a wasteful number, since it uses less digits than its factorization.

4401400152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35080 (or 35076 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4401400152 is about 66343.0490104276. The cubic root of 4401400152 is about 1638.8163370580.

Adding to 4401400152 its reverse (2510041044), we get a palindrome (6911441196).

The spelling of 4401400152 in words is "four billion, four hundred one million, four hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 229 276 458 552 687 916 1374 1832 2748 5267 5496 10534 15801 21068 31602 34819 42136 63204 69638 104457 126408 139276 208914 278552 417828 800837 835656 1601674 2402511 3203348 4805022 6406696 7973551 9610044 15947102 19220088 23920653 31894204 47841306 63788408 95682612 183391673 191365224 366783346 550175019 733566692 1100350038 1467133384 2200700076 4401400152