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4162116 = 223749549
BaseRepresentation
bin1111111000001001000100
321211110100110
433320021010
52031141431
6225113020
750243310
oct17701104
97743313
104162116
112393072
121488770
13b295ba
147a4b40
15573346
hex3f8244

4162116 has 24 divisors (see below), whose sum is σ = 11099200. Its totient is φ = 1189152.

The previous prime is 4162097. The next prime is 4162117. The reversal of 4162116 is 6112614.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4162092 and 4162101.

It is not an unprimeable number, because it can be changed into a prime (4162117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24691 + ... + 24858.

Almost surely, 24162116 is an apocalyptic number.

It is an amenable number.

4162116 is an abundant number, since it is smaller than the sum of its proper divisors (6937084).

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

4162116 is a wasteful number, since it uses less digits than its factorization.

4162116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49563 (or 49561 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 4162116 is about 2040.1264666682. The cubic root of 4162116 is about 160.8562944897.

It can be divided in two parts, 4162 and 116, that added together give a triangular number (4278 = T92).

The spelling of 4162116 in words is "four million, one hundred sixty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 49549 99098 148647 198196 297294 346843 594588 693686 1040529 1387372 2081058 4162116