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2858208 = 253191567
BaseRepresentation
bin1010111001110011100000
312101012201120
422321303200
51212430313
6141132240
733202653
oct12716340
95335646
102858208
111682461
12b5a080
13790c62
1454589a
153b6d23
hex2b9ce0

2858208 has 48 divisors (see below), whose sum is σ = 7902720. Its totient is φ = 902016.

The previous prime is 2858183. The next prime is 2858209. The reversal of 2858208 is 8028582.

2858208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2858209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1041 + ... + 2607.

It is an arithmetic number, because the mean of its divisors is an integer number (164640).

22858208 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 2858208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951360).

2858208 is an abundant number, since it is smaller than the sum of its proper divisors (5044512).

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

2858208 is a wasteful number, since it uses less digits than its factorization.

2858208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 2858208 is about 1690.6235536038. The cubic root of 2858208 is about 141.9159722401.

The spelling of 2858208 in words is "two million, eight hundred fifty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1567 1824 3134 4701 6268 9402 12536 18804 25072 29773 37608 50144 59546 75216 89319 119092 150432 178638 238184 357276 476368 714552 952736 1429104 2858208