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2928274000 = 24531464137
BaseRepresentation
bin1010111010001001…
…1110101001010000
321120002001201202121
42232202132221100
521444114232000
61202323024024
7132364626661
oct25642365120
97502051677
102928274000
111272a30663
1269880b014
13378890212
141dac95368
15122126b1a
hexae89ea50

2928274000 has 40 divisors (see below), whose sum is σ = 7080571368. Its totient is φ = 1171308800.

The previous prime is 2928273949. The next prime is 2928274001. The reversal of 2928274000 is 4728292.

It can be written as a sum of positive squares in 4 ways, for example, as 154355776 + 2773918224 = 12424^2 + 52668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928274001) 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, 730069 + ... + 734068.

Almost surely, 22928274000 is an apocalyptic number.

2928274000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2928274000 is an abundant number, since it is smaller than the sum of its proper divisors (4152297368).

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

2928274000 is a wasteful number, since it uses less digits than its factorization.

2928274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464160 (or 1464144 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2928274000 is about 54113.5288074988. The cubic root of 2928274000 is about 1430.6626429961.

The spelling of 2928274000 in words is "two billion, nine hundred twenty-eight million, two hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1464137 2928274 5856548 7320685 11713096 14641370 23426192 29282740 36603425 58565480 73206850 117130960 146413700 183017125 292827400 366034250 585654800 732068500 1464137000 2928274000