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500742 = 23411281
BaseRepresentation
bin1111010010000000110
3221102220000
41322100012
5112010432
614422130
74153614
oct1722006
9842800
10500742
11312240
12201946
13146bc8
14d06b4
159d57c
hex7a406

500742 has 40 divisors (see below), whose sum is σ = 1228392. Its totient is φ = 151200.

The previous prime is 500741. The next prime is 500777. The reversal of 500742 is 247005.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 500742.

It is not an unprimeable number, because it can be changed into a prime (500741) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1642 + ... + 1922.

2500742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614196).

500742 is an abundant number, since it is smaller than the sum of its proper divisors (727650).

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

500742 is a wasteful number, since it uses less digits than its factorization.

500742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 500742 is about 707.6312599087. The cubic root of 500742 is about 79.4092949123.

Adding to 500742 its reverse (247005), we get a palindrome (747747).

The spelling of 500742 in words is "five hundred thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 281 297 562 594 843 891 1686 1782 2529 3091 5058 6182 7587 9273 15174 18546 22761 27819 45522 55638 83457 166914 250371 500742