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2042552520 = 233255673757
BaseRepresentation
bin111100110111110…
…1110000011001000
312021100102102022100
41321233232003020
513140343140040
6534402553400
7101421260421
oct17157560310
95240372270
102042552520
11958a70a38
12490068860
13267225978
141553b4648
15be4bab30
hex79bee0c8

2042552520 has 48 divisors (see below), whose sum is σ = 6638296860. Its totient is φ = 544680576.

The previous prime is 2042552509. The next prime is 2042552549. The reversal of 2042552520 is 252552402.

2042552520 is a `hidden beast` number, since 20 + 42 + 552 + 52 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2041774596 + 777924 = 45186^2 + 882^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2836519 + ... + 2837238.

Almost surely, 22042552520 is an apocalyptic number.

2042552520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042552520 is an abundant number, since it is smaller than the sum of its proper divisors (4595744340).

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

2042552520 is a wasteful number, since it uses less digits than its factorization.

2042552520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673774 (or 5673767 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2042552520 is about 45194.6072004172. The cubic root of 2042552520 is about 1268.7938866455.

The spelling of 2042552520 in words is "two billion, forty-two million, five hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5673757 11347514 17021271 22695028 28368785 34042542 45390056 51063813 56737570 68085084 85106355 102127626 113475140 136170168 170212710 204255252 226950280 255319065 340425420 408510504 510638130 680850840 1021276260 2042552520