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83074208 = 257252981
BaseRepresentation
bin1001111001110…
…01110010100000
312210022121101112
410330321302200
5132231333313
612124322452
72026055600
oct474716240
9183277345
1083074208
1142990978
12239a3428
1314298749
14b066c00
15745e8a8
hex4f39ca0

83074208 has 36 divisors (see below), whose sum is σ = 190258362. Its totient is φ = 35602560.

The previous prime is 83074177. The next prime is 83074247. The reversal of 83074208 is 80247038.

It can be written as a sum of positive squares in only one way, i.e., 44782864 + 38291344 = 6692^2 + 6188^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24923 + ... + 28058.

Almost surely, 283074208 is an apocalyptic number.

It is an amenable number.

83074208 is an abundant number, since it is smaller than the sum of its proper divisors (107184154).

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

83074208 is a wasteful number, since it uses less digits than its factorization.

83074208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53005 (or 52990 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 83074208 is about 9114.5053623332. The cubic root of 83074208 is about 436.3370286385.

The spelling of 83074208 in words is "eighty-three million, seventy-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 52981 105962 211924 370867 423848 741734 847696 1483468 1695392 2596069 2966936 5192138 5933872 10384276 11867744 20768552 41537104 83074208