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5257343040 = 263531117609
BaseRepresentation
bin1001110010101110…
…01011000001000000
3111120101121200211220
410321113023001000
541231334434130
62225403035040
7244165451505
oct47127130100
914511550756
105257343040
1122586a6704
12102880ba80
1365a272691
1437c32d4ac
1520b83b410
hex1395cb040

5257343040 has 112 divisors (see below), whose sum is σ = 16746687360. Its totient is φ = 1397370880.

The previous prime is 5257343033. The next prime is 5257343051. The reversal of 5257343040 is 403437525.

It is a junction number, because it is equal to n+sod(n) for n = 5257342992 and 5257343010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289756 + ... + 307364.

Almost surely, 25257343040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5257343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8373343680).

5257343040 is an abundant number, since it is smaller than the sum of its proper divisors (11489344320).

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

5257343040 is a wasteful number, since it uses less digits than its factorization.

5257343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17940 (or 17930 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

The square root of 5257343040 is about 72507.5378150438. The cubic root of 5257343040 is about 1738.8232497998.

The spelling of 5257343040 in words is "five billion, two hundred fifty-seven million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 311 320 480 622 933 960 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 9952 12440 14928 17609 18660 19904 24880 29856 35218 37320 49760 52827 59712 70436 74640 88045 99520 105654 140872 149280 176090 211308 264135 281744 298560 352180 422616 528270 563488 704360 845232 1056540 1126976 1408720 1690464 2113080 2817440 3380928 4226160 5476399 5634880 8452320 10952798 16429197 16904640 21905596 27381995 32858394 43811192 54763990 65716788 82145985 87622384 109527980 131433576 164291970 175244768 219055960 262867152 328583940 350489536 438111920 525734304 657167880 876223840 1051468608 1314335760 1752447680 2628671520 5257343040