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2923879120 = 24537987797
BaseRepresentation
bin1010111001000110…
…1101101011010000
321112202210110010021
42232101231223100
521442003112440
61202044513224
7132312363631
oct25621555320
97482713107
102923879120
1112704a9728
1269724b814
133779b19b6
141da46d888
15121a5984a
hexae46dad0

2923879120 has 40 divisors (see below), whose sum is σ = 6981756264. Its totient is φ = 1137940992.

The previous prime is 2923879081. The next prime is 2923879121. The reversal of 2923879120 is 219783292.

2923879120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 852172864 + 2071706256 = 29192^2 + 45516^2 .

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

It is a super-3 number, since 3×29238791203 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2923879121) 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, 490939 + ... + 496858.

Almost surely, 22923879120 is an apocalyptic number.

2923879120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2923879120 is an abundant number, since it is smaller than the sum of its proper divisors (4057877144).

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

2923879120 is a wasteful number, since it uses less digits than its factorization.

2923879120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987847 (or 987841 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 2923879120 is about 54072.9055997549. The cubic root of 2923879120 is about 1429.9465512160.

The spelling of 2923879120 in words is "two billion, nine hundred twenty-three million, eight hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 987797 1975594 3951188 4938985 7902376 9877970 15804752 19755940 36548489 39511880 73096978 79023760 146193956 182742445 292387912 365484890 584775824 730969780 1461939560 2923879120