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4092192 = 2532131093
BaseRepresentation
bin1111100111000100100000
321200220102200
433213010200
52021422232
6223413200
746532406
oct17470440
97626380
104092192
112345585
121454200
13b03820
14787476
1555c77c
hex3e7120

4092192 has 72 divisors (see below), whose sum is σ = 12543804. Its totient is φ = 1257984.

The previous prime is 4092173. The next prime is 4092197. The reversal of 4092192 is 2912904.

It can be written as a sum of positive squares in 2 ways, for example, as 4016016 + 76176 = 2004^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4092197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3198 + ... + 4290.

Almost surely, 24092192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4092192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271902).

4092192 is an abundant number, since it is smaller than the sum of its proper divisors (8451612).

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

4092192 is a wasteful number, since it uses less digits than its factorization.

4092192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4092192 is about 2022.9167061449. The cubic root of 4092192 is about 159.9504012931.

It can be divided in two parts, 409 and 2192, that added together give a square (2601 = 512).

The spelling of 4092192 in words is "four million, ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1093 1248 1872 2186 3279 3744 4372 6558 8744 9837 13116 14209 17488 19674 26232 28418 34976 39348 42627 52464 56836 78696 85254 104928 113672 127881 157392 170508 227344 255762 314784 341016 454688 511524 682032 1023048 1364064 2046096 4092192