Search a number
-
+
5440111392 = 253296832861
BaseRepresentation
bin1010001000100000…
…11000001100100000
3112001010112021220010
411010100120030200
542120132031032
62255452244520
7251545120032
oct50420301440
915033467803
105440111392
11234188a231
121079a70740
136890a5631
14398707c52
1521c8deccc
hex144418320

5440111392 has 96 divisors (see below), whose sum is σ = 14799516480. Its totient is φ = 1747665920.

The previous prime is 5440111349. The next prime is 5440111393. The reversal of 5440111392 is 2931110445.

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

It is not an unprimeable number, because it can be changed into a prime (5440111393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1900042 + ... + 1902902.

It is an arithmetic number, because the mean of its divisors is an integer number (154161630).

Almost surely, 25440111392 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 5440111392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399758240).

5440111392 is an abundant number, since it is smaller than the sum of its proper divisors (9359405088).

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

5440111392 is a wasteful number, since it uses less digits than its factorization.

5440111392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5440111392 is about 73757.1107894012. The cubic root of 5440111392 is about 1758.7438729885.

The spelling of 5440111392 in words is "five billion, four hundred forty million, one hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 683 696 928 1366 1392 2049 2732 2784 2861 4098 5464 5722 8196 8583 10928 11444 16392 17166 19807 21856 22888 32784 34332 39614 45776 59421 65568 68664 79228 82969 91552 118842 137328 158456 165938 237684 248907 274656 316912 331876 475368 497814 633824 663752 950736 995628 1327504 1901472 1954063 1991256 2655008 3908126 3982512 5862189 7816252 7965024 11724378 15632504 23448756 31265008 46897512 56667827 62530016 93795024 113335654 170003481 187590048 226671308 340006962 453342616 680013924 906685232 1360027848 1813370464 2720055696 5440111392