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2840088032 = 253713917257
BaseRepresentation
bin1010100101001000…
…0100110111100000
321022221010102100122
42221102010313200
521304030304112
61145452535412
7130244231015
oct25122046740
97287112318
102840088032
1112281791a1
12673181568
13363524b82
141cd29b70c
15119507872
hexa9484de0

2840088032 has 48 divisors (see below), whose sum is σ = 5784191280. Its totient is φ = 1371644928.

The previous prime is 2840087923. The next prime is 2840088049. The reversal of 2840088032 is 2308800482.

It is a super-2 number, since 2×28400880322 = 16132200059019266048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2840087983 and 2840088001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 155948 + ... + 173204.

It is an arithmetic number, because the mean of its divisors is an integer number (120503985).

Almost surely, 22840088032 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 2840088032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892095640).

2840088032 is an abundant number, since it is smaller than the sum of its proper divisors (2944103248).

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

2840088032 is a wasteful number, since it uses less digits than its factorization.

2840088032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17443 (or 17435 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 2840088032 is about 53292.4763170187. The cubic root of 2840088032 is about 1416.1543821802.

The spelling of 2840088032 in words is "two billion, eight hundred forty million, eighty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 74 139 148 278 296 556 592 1112 1184 2224 4448 5143 10286 17257 20572 34514 41144 69028 82288 138056 164576 276112 552224 638509 1277018 2398723 2554036 4797446 5108072 9594892 10216144 19189784 20432288 38379568 76759136 88752751 177505502 355011004 710022008 1420044016 2840088032