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542616 = 23323983
BaseRepresentation
bin10000100011110011000
31000120022220
42010132120
5114330431
615344040
74416654
oct2043630
91016286
10542616
11340748
12222020
1315cc99
14101a64
15aab96
hex84798

542616 has 32 divisors (see below), whose sum is σ = 1416960. Its totient is φ = 172832.

The previous prime is 542603. The next prime is 542683. The reversal of 542616 is 616245.

542616 = T85 + T86 + ... + T156.

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

It is a congruent number.

It is an unprimeable number.

542616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61 + ... + 1043.

It is an arithmetic number, because the mean of its divisors is an integer number (44280).

2542616 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 542616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708480).

542616 is an abundant number, since it is smaller than the sum of its proper divisors (874344).

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

542616 is a wasteful number, since it uses less digits than its factorization.

542616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1011 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 542616 is about 736.6247348549. The cubic root of 542616 is about 81.5638151753.

The spelling of 542616 in words is "five hundred forty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 983 1966 2949 3932 5898 7864 11796 22609 23592 45218 67827 90436 135654 180872 271308 542616