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442002 = 231137181
BaseRepresentation
bin1101011111010010010
3211110022110
41223322102
5103121002
613250150
73520431
oct1537222
9743273
10442002
112820a0
12193956
13126252
14b7118
158ae6c
hex6be92

442002 has 32 divisors (see below), whose sum is σ = 995904. Its totient is φ = 129600.

The previous prime is 441971. The next prime is 442003. The reversal of 442002 is 200244.

It is not an unprimeable number, because it can be changed into a prime (442003) by changing a digit.

442002 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2352 + ... + 2532.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2442002 is an apocalyptic number.

442002 is the 543-rd pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497952).

442002 is an abundant number, since it is smaller than the sum of its proper divisors (553902).

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

442002 is a wasteful number, since it uses less digits than its factorization.

442002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 442002 is about 664.8323096842. The cubic root of 442002 is about 76.1742309238.

Adding to 442002 its reverse (200244), we get a palindrome (642246).

It can be divided in two parts, 44 and 2002, that multiplied together give a palindrome (88088).

The spelling of 442002 in words is "four hundred forty-two thousand, two", and thus it is an iban number.

Divisors: 1 2 3 6 11 22 33 37 66 74 111 181 222 362 407 543 814 1086 1221 1991 2442 3982 5973 6697 11946 13394 20091 40182 73667 147334 221001 442002