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2742633075 = 3527132511601
BaseRepresentation
bin1010001101111001…
…0100001001110011
321002010202012021210
42203132110021303
521104103224300
61132052051203
7124651665540
oct24336241163
97063665253
102742633075
111188165906
12646603b03
13349292910
141c036dbc7
15110ba7050
hexa3794273

2742633075 has 96 divisors (see below), whose sum is σ = 5606641152. Its totient is φ = 1152000000.

The previous prime is 2742633073. The next prime is 2742633077. The reversal of 2742633075 is 5703362472.

2742633075 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2742633073) and next prime (2742633077).

It is not a de Polignac number, because 2742633075 - 21 = 2742633073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2742633073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1712275 + ... + 1713875.

It is an arithmetic number, because the mean of its divisors is an integer number (58402512).

Almost surely, 22742633075 is an apocalyptic number.

2742633075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2742633075 is an abundant number, since it is smaller than the sum of its proper divisors (2864008077).

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

2742633075 is a wasteful number, since it uses less digits than its factorization.

2742633075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The square root of 2742633075 is about 52370.1544297895. The cubic root of 2742633075 is about 1399.7674911495.

The spelling of 2742633075 in words is "two billion, seven hundred forty-two million, six hundred thirty-three thousand, seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 251 273 325 455 525 753 975 1255 1365 1601 1757 2275 3263 3765 4803 5271 6275 6825 8005 8785 9789 11207 16315 18825 20813 22841 24015 26355 33621 40025 43925 48945 56035 62439 68523 81575 104065 114205 120075 131775 145691 168105 244725 280175 312195 342615 401851 437073 520325 571025 728455 840525 1205553 1560975 1713075 2009255 2185365 2812957 3642275 5224063 6027765 8438871 10046275 10926825 14064785 15672189 26120315 30138825 36568441 42194355 70323925 78360945 109705323 130601575 182842205 210971775 391804725 548526615 914211025 2742633075