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3085437024 = 253252120563
BaseRepresentation
bin1011011111101000…
…0000100001100000
321222000210102220100
42313322000201200
522304332441044
61230055342400
7136313532135
oct26772004140
97860712810
103085437024
11134371555a
12721381a00
133a22c95a7
14213ac658c
15130d1d869
hexb7e80860

3085437024 has 72 divisors (see below), whose sum is σ = 8791480152. Its totient is φ = 1026455040.

The previous prime is 3085437023. The next prime is 3085437073. The reversal of 3085437024 is 4207345803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3085437024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3085437023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139767 + ... + 160329.

It is an arithmetic number, because the mean of its divisors is an integer number (122103891).

Almost surely, 23085437024 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 3085437024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395740076).

3085437024 is an abundant number, since it is smaller than the sum of its proper divisors (5706043128).

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

3085437024 is a wasteful number, since it uses less digits than its factorization.

3085437024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21100 (or 21089 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3085437024 is about 55546.7102896292. The cubic root of 3085437024 is about 1455.8128960956.

The spelling of 3085437024 in words is "three billion, eighty-five million, four hundred thirty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 521 1042 1563 2084 3126 4168 4689 6252 8336 9378 12504 16672 18756 20563 25008 37512 41126 50016 61689 75024 82252 123378 150048 164504 185067 246756 329008 370134 493512 658016 740268 987024 1480536 1974048 2961072 5922144 10713323 21426646 32139969 42853292 64279938 85706584 96419907 128559876 171413168 192839814 257119752 342826336 385679628 514239504 771359256 1028479008 1542718512 3085437024