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5684566400 = 27529191933
BaseRepresentation
bin1010100101101001…
…11001100110000000
3112200011111220010022
411102310321212000
543120222111100
62340023553012
7260604005612
oct52264714600
915604456108
105684566400
112457875967
1211278bb768
136c7926176
143bcd7cdb2
152340cae85
hex152d39980

5684566400 has 96 divisors (see below), whose sum is σ = 14065208400. Its totient is φ = 2270177280.

The previous prime is 5684566343. The next prime is 5684566411. The reversal of 5684566400 is 46654865.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2939834 + ... + 2941766.

Almost surely, 25684566400 is an apocalyptic number.

5684566400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5684566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032604200).

5684566400 is an abundant number, since it is smaller than the sum of its proper divisors (8380642000).

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

5684566400 is a wasteful number, since it uses less digits than its factorization.

5684566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The square root of 5684566400 is about 75396.0635577216. The cubic root of 5684566400 is about 1784.7022914170.

The spelling of 5684566400 in words is "five billion, six hundred eighty-four million, five hundred sixty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 919 1600 1838 1933 3200 3676 3866 4595 7352 7732 9190 9665 14704 15464 18380 19330 22975 29408 30928 36760 38660 45950 48325 58816 61856 73520 77320 91900 96650 117632 123712 147040 154640 183800 193300 247424 294080 309280 367600 386600 588160 618560 735200 773200 1237120 1470400 1546400 1776427 2940800 3092800 3552854 6185600 7105708 8882135 14211416 17764270 28422832 35528540 44410675 56845664 71057080 88821350 113691328 142114160 177642700 227382656 284228320 355285400 568456640 710570800 1136913280 1421141600 2842283200 5684566400