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2801803424 = 25743129021
BaseRepresentation
bin1010011100000000…
…0010000010100000
321020021002100202012
42213000002002200
521214230202144
61142004212052
7126300636050
oct24700020240
97207070665
102801803424
1112085aa422
1266239a028
1335860c064
141c8173560
15115e93e9e
hexa70020a0

2801803424 has 48 divisors (see below), whose sum is σ = 6318902016. Its totient is φ = 1197945600.

The previous prime is 2801803423. The next prime is 2801803427. The reversal of 2801803424 is 4243081082.

It is a super-3 number, since 3×28018034243 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2801803423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82034 + ... + 111054.

It is an arithmetic number, because the mean of its divisors is an integer number (131643792).

Almost surely, 22801803424 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 2801803424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159451008).

2801803424 is an abundant number, since it is smaller than the sum of its proper divisors (3517098592).

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

2801803424 is a wasteful number, since it uses less digits than its factorization.

2801803424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29469 (or 29461 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 2801803424 is about 52932.0642333170. The cubic root of 2801803424 is about 1409.7622830808.

The spelling of 2801803424 in words is "two billion, eight hundred one million, eight hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 431 862 1724 3017 3448 6034 6896 12068 13792 24136 29021 48272 58042 96544 116084 203147 232168 406294 464336 812588 928672 1625176 3250352 6500704 12508051 25016102 50032204 87556357 100064408 175112714 200128816 350225428 400257632 700450856 1400901712 2801803424