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534192 = 24331359
BaseRepresentation
bin10000010011010110000
31000010202220
42002122300
5114043232
615241040
74353261
oct2023260
91003686
10534192
1133538a
12219180
131591b9
14dc968
15a842c
hex826b0

534192 has 40 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 171840.

The previous prime is 534173. The next prime is 534199. The reversal of 534192 is 291435.

It is a super-2 number, since 2×5341922 = 570722185728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (534199) by changing a digit.

534192 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1309 + ... + 1667.

It is an arithmetic number, because the mean of its divisors is an integer number (35712).

2534192 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 534192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

534192 is an abundant number, since it is smaller than the sum of its proper divisors (894288).

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

534192 is a wasteful number, since it uses less digits than its factorization.

534192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 534192 is about 730.8843957836. The cubic root of 534192 is about 81.1395248062.

The spelling of 534192 in words is "five hundred thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 359 372 496 718 744 1077 1436 1488 2154 2872 4308 5744 8616 11129 17232 22258 33387 44516 66774 89032 133548 178064 267096 534192