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83274128 = 2472106217
BaseRepresentation
bin1001111011010…
…10100110010000
312210200202121222
410331222212100
5132304233003
612132504212
72030550500
oct475524620
9183622558
1083274128
11430080a3
1223a7b068
1314338742
14b0b9a00
15749dc38
hex4f6a990

83274128 has 30 divisors (see below), whose sum is σ = 187687206. Its totient is φ = 35688576.

The previous prime is 83274119. The next prime is 83274133. The reversal of 83274128 is 82147238.

It can be written as a sum of positive squares in only one way, i.e., 56731024 + 26543104 = 7532^2 + 5152^2 .

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, 52325 + ... + 53892.

Almost surely, 283274128 is an apocalyptic number.

It is an amenable number.

83274128 is an abundant number, since it is smaller than the sum of its proper divisors (104413078).

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

83274128 is a wasteful number, since it uses less digits than its factorization.

83274128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106239 (or 106226 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 83274128 is about 9125.4659059141. The cubic root of 83274128 is about 436.6867666162.

The spelling of 83274128 in words is "eighty-three million, two hundred seventy-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 106217 212434 424868 743519 849736 1487038 1699472 2974076 5204633 5948152 10409266 11896304 20818532 41637064 83274128