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542376 = 233731
BaseRepresentation
bin10000100011010101000
31000120000000
42010122220
5114324001
615343000
74416162
oct2043250
91016000
10542376
1134054a
12221a60
1315cb43
14101932
15aaa86
hex846a8

542376 has 64 divisors (see below), whose sum is σ = 1574400. Its totient is φ = 174960.

The previous prime is 542371. The next prime is 542401. The reversal of 542376 is 673245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (5040) is a multiple of the sum of its prime divisors (36).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (542371) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17481 + ... + 17511.

It is an arithmetic number, because the mean of its divisors is an integer number (24600).

542376 is a Friedman number, since it can be written as 6^7*(5-3-2^(-4)), using all its digits and the basic arithmetic operations.

2542376 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 542376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787200).

542376 is an abundant number, since it is smaller than the sum of its proper divisors (1032024).

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

542376 is an equidigital number, since it uses as much as digits as its factorization.

542376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 36 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 542376 is about 736.4618116372. The cubic root of 542376 is about 81.5517881295.

The spelling of 542376 in words is "five hundred forty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 729 744 837 972 1116 1458 1674 1944 2187 2232 2511 2916 3348 4374 5022 5832 6696 7533 8748 10044 15066 17496 20088 22599 30132 45198 60264 67797 90396 135594 180792 271188 542376