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4087284 = 2232359251
BaseRepresentation
bin1111100101110111110100
321200122200220
433211313310
52021243114
6223334340
746512165
oct17456764
97618626
104087284
112341923
1214513b0
13b01516
1478576c
1555b0a9
hex3e5df4

4087284 has 48 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1276000.

The previous prime is 4087277. The next prime is 4087297. The reversal of 4087284 is 4827804.

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, 16159 + ... + 16409.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 24087284 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 4087284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

4087284 is an abundant number, since it is smaller than the sum of its proper divisors (6073356).

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

4087284 is a wasteful number, since it uses less digits than its factorization.

4087284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 4087284 is about 2021.7032423182. The cubic root of 4087284 is about 159.8864298221.

It can be divided in two parts, 4087 and 284, that added together give a triangular number (4371 = T93).

The spelling of 4087284 in words is "four million, eighty-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 23 46 59 69 92 118 138 177 236 251 276 354 502 708 753 1004 1357 1506 2714 3012 4071 5428 5773 8142 11546 14809 16284 17319 23092 29618 34638 44427 59236 69276 88854 177708 340607 681214 1021821 1362428 2043642 4087284