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84028977 = 32172572137
BaseRepresentation
bin1010000001000…
…10111000110001
312212010010002100
411000202320301
5133002411402
612201011013
72040143304
oct500427061
9185103070
1084028977
114348323a
1224183a69
13145411b6
14b234b3b
15759c71c
hex5022e31

84028977 has 24 divisors (see below), whose sum is σ = 129075336. Its totient is φ = 52494336.

The previous prime is 84028969. The next prime is 84028991. The reversal of 84028977 is 77982048.

It can be written as a sum of positive squares in 4 ways, for example, as 25644096 + 58384881 = 5064^2 + 7641^2 .

It is not a de Polignac number, because 84028977 - 23 = 84028969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84028907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38253 + ... + 40389.

It is an arithmetic number, because the mean of its divisors is an integer number (5378139).

Almost surely, 284028977 is an apocalyptic number.

It is an amenable number.

84028977 is a deficient number, since it is larger than the sum of its proper divisors (45046359).

84028977 is a wasteful number, since it uses less digits than its factorization.

84028977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 84028977 is about 9166.7320785545. The cubic root of 84028977 is about 438.0022674556.

The spelling of 84028977 in words is "eighty-four million, twenty-eight thousand, nine hundred seventy-seven".

Divisors: 1 3 9 17 51 153 257 771 2137 2313 4369 6411 13107 19233 36329 39321 108987 326961 549209 1647627 4942881 9336553 28009659 84028977