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4252334640 = 2435113156797
BaseRepresentation
bin1111110101110101…
…0111101000110000
3101222100111222111120
43331131113220300
532202044202030
61541542142240
7210243151041
oct37535275060
911870458446
104252334640
111892371a54
129a8121980
13529ca0958
142c4a7a8c8
1519d4bb010
hexfd757a30

4252334640 has 80 divisors (see below), whose sum is σ = 13298979168. Its totient is φ = 1123913728.

The previous prime is 4252334633. The next prime is 4252334651. The reversal of 4252334640 is 464332524.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51279 + ... + 105518.

Almost surely, 24252334640 is an apocalyptic number.

4252334640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4252334640 is an abundant number, since it is smaller than the sum of its proper divisors (9046644528).

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

4252334640 is a wasteful number, since it uses less digits than its factorization.

4252334640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156926 (or 156920 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The square root of 4252334640 is about 65209.9274650724. The cubic root of 4252334640 is about 1620.1024474154.

The spelling of 4252334640 in words is "four billion, two hundred fifty-two million, three hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 5424 6780 9040 13560 27120 156797 313594 470391 627188 783985 940782 1254376 1567970 1881564 2351955 2508752 3135940 3763128 4703910 6271880 7526256 9407820 12543760 17718061 18815640 35436122 37631280 53154183 70872244 88590305 106308366 141744488 177180610 212616732 265770915 283488976 354361220 425233464 531541830 708722440 850466928 1063083660 1417444880 2126167320 4252334640