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5874984 = 233359461
BaseRepresentation
bin10110011010010100101000
3102001110222000
4112122110220
53000444414
6325531000
7100636143
oct26322450
912043860
105874984
113352a65
121b73a60
1312a912b
14acd05a
157b0b09
hex59a528

5874984 has 64 divisors (see below), whose sum is σ = 16632000. Its totient is φ = 1920960.

The previous prime is 5874977. The next prime is 5875003. The reversal of 5874984 is 4894785.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12514 + ... + 12974.

It is an arithmetic number, because the mean of its divisors is an integer number (259875).

Almost surely, 25874984 is an apocalyptic number.

5874984 is a gapful number since it is divisible by the number (54) 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 5874984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316000).

5874984 is an abundant number, since it is smaller than the sum of its proper divisors (10757016).

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

5874984 is a wasteful number, since it uses less digits than its factorization.

5874984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 525 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 5874984 is about 2423.8366281579. The cubic root of 5874984 is about 180.4411402019.

The spelling of 5874984 in words is "five million, eight hundred seventy-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 461 472 531 708 922 1062 1383 1416 1593 1844 2124 2766 3186 3688 4149 4248 5532 6372 8298 11064 12447 12744 16596 24894 27199 33192 49788 54398 81597 99576 108796 163194 217592 244791 326388 489582 652776 734373 979164 1468746 1958328 2937492 5874984