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6923828 = 22171923233
BaseRepresentation
bin11010011010011000110100
3111000202201002
4122122120310
53233030303
6404222432
7112565042
oct32323064
914022632
106923828
1139a9a7a
12239aa18
131585652
14cc3392
1591b788
hex69a634

6923828 has 48 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 2939904.

The previous prime is 6923821. The next prime is 6923869. The reversal of 6923828 is 8283296.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a d-powerful number, because it can be written as 68 + 93 + 220 + 33 + 82 + 222 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 6923791 and 6923800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6923821) 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 15 ways as a sum of consecutive naturals, for example, 29600 + ... + 29832.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 26923828 is an apocalyptic number.

6923828 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6923828 is an abundant number, since it is smaller than the sum of its proper divisors (7228492).

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

6923828 is a wasteful number, since it uses less digits than its factorization.

6923828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 6923828 is about 2631.3167806252. The cubic root of 6923828 is about 190.5967204488.

The spelling of 6923828 in words is "six million, nine hundred twenty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 17 19 23 34 38 46 68 76 92 233 323 391 437 466 646 782 874 932 1292 1564 1748 3961 4427 5359 7429 7922 8854 10718 14858 15844 17708 21436 29716 75259 91103 101821 150518 182206 203642 301036 364412 407284 1730957 3461914 6923828