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4290513300 = 223452529693
BaseRepresentation
bin1111111110111100…
…0000100110010100
3102002000100122210000
43333233000212110
532241332411200
61545424331300
7211215522063
oct37757004624
912060318700
104290513300
111901979167
129b8a73b30
13534b7a488
142c9b781da
151a1a0d300
hexffbc0994

4290513300 has 90 divisors (see below), whose sum is σ = 13908175358. Its totient is φ = 1144134720.

The previous prime is 4290513289. The next prime is 4290513313. The reversal of 4290513300 is 33150924.

It can be written as a sum of positive squares in 3 ways, for example, as 1296 + 4290512004 = 36^2 + 65502^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 256747 + ... + 272946.

Almost surely, 24290513300 is an apocalyptic number.

It is an amenable number.

4290513300 is an abundant number, since it is smaller than the sum of its proper divisors (9617662058).

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

4290513300 is a wasteful number, since it uses less digits than its factorization.

4290513300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529719 (or 529703 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 4290513300 is about 65502.0098928270. The cubic root of 4290513300 is about 1624.9365876636.

The spelling of 4290513300 in words is "four billion, two hundred ninety million, five hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 529693 1059386 1589079 2118772 2648465 3178158 4767237 5296930 6356316 7945395 9534474 10593860 13242325 14301711 15890790 19068948 23836185 26484650 28603422 31781580 39726975 42905133 47672370 52969300 57206844 71508555 79453950 85810266 95344740 119180925 143017110 158907900 171620532 214525665 238361850 286034220 357542775 429051330 476723700 715085550 858102660 1072628325 1430171100 2145256650 4290513300