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8219808 = 253228541
BaseRepresentation
bin11111010110110010100000
3120110121110100
4133112302200
54101013213
6452102400
7126603312
oct37266240
916417410
108219808
114704733
122904a00
13191a4bc
14113d7b2
15ac5773
hex7d6ca0

8219808 has 36 divisors (see below), whose sum is σ = 23375898. Its totient is φ = 2739840.

The previous prime is 8219791. The next prime is 8219819. The reversal of 8219808 is 8089128.

8219808 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7683984 + 535824 = 2772^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13983 + ... + 14558.

Almost surely, 28219808 is an apocalyptic number.

It is an amenable number.

8219808 is an abundant number, since it is smaller than the sum of its proper divisors (15156090).

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

8219808 is a wasteful number, since it uses less digits than its factorization.

8219808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28557 (or 28546 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8219808 is about 2867.0207533257. The cubic root of 8219808 is about 201.8152085801.

The spelling of 8219808 in words is "eight million, two hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 28541 57082 85623 114164 171246 228328 256869 342492 456656 513738 684984 913312 1027476 1369968 2054952 2739936 4109904 8219808