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4294893645 = 33575098929
BaseRepresentation
bin1111111111111110…
…1110000001001101
3102002022121012111000
43333333232001031
532243443044040
61550102250513
7211300664550
oct37777560115
912068535430
104294893645
1119043a0189
129ba426a39
13535a521b3
142ca598697
151a20c6130
hexfffee04d

4294893645 has 64 divisors (see below), whose sum is σ = 8744256000. Its totient is φ = 1959303168.

The previous prime is 4294893643. The next prime is 4294893653. The reversal of 4294893645 is 5463984924.

It is not a de Polignac number, because 4294893645 - 21 = 4294893643 is a prime.

It is a super-3 number, since 3×42948936453 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4294893591 and 4294893600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4294893643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 476541 + ... + 485469.

It is an arithmetic number, because the mean of its divisors is an integer number (136629000).

Almost surely, 24294893645 is an apocalyptic number.

4294893645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4294893645 is an abundant number, since it is smaller than the sum of its proper divisors (4449362355).

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

4294893645 is a wasteful number, since it uses less digits than its factorization.

4294893645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9459 (or 9453 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 4294893645 is about 65535.4380850544. The cubic root of 4294893645 is about 1625.4893856982.

The spelling of 4294893645 in words is "four billion, two hundred ninety-four million, eight hundred ninety-three thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 509 945 1527 2545 3563 4581 7635 8929 10689 13743 17815 22905 26787 32067 44645 53445 62503 68715 80361 96201 133935 160335 187509 241083 312515 401805 481005 562527 937545 1205415 1687581 2812635 4544861 8437905 13634583 22724305 31814027 40903749 68172915 95442081 122711247 159070135 204518745 286326243 477210405 613556235 858978729 1431631215 4294893645