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442240542 = 232191319871
BaseRepresentation
bin11010010111000…
…000111000011110
31010211011010222100
4122113000320132
51401203144132
6111514425530
713646661012
oct3227007036
91124133870
10442240542
112076a6957
121041322a6
1370810bc3
1442a3c542
1528c5937c
hex1a5c0e1e

442240542 has 48 divisors (see below), whose sum is σ = 1016421120. Its totient is φ = 138574800.

The previous prime is 442240541. The next prime is 442240553. The reversal of 442240542 is 245042244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442240541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39867 + ... + 49737.

It is an arithmetic number, because the mean of its divisors is an integer number (21175440).

Almost surely, 2442240542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442240542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508210560).

442240542 is an abundant number, since it is smaller than the sum of its proper divisors (574180578).

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

442240542 is a wasteful number, since it uses less digits than its factorization.

442240542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10029 (or 10026 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 442240542 is about 21029.5159716052. The cubic root of 442240542 is about 761.8793183134.

Adding to 442240542 its reverse (245042244), we get a palindrome (687282786).

The spelling of 442240542 in words is "four hundred forty-two million, two hundred forty thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 131 171 262 342 393 786 1179 2358 2489 4978 7467 9871 14934 19742 22401 29613 44802 59226 88839 177678 187549 375098 562647 1125294 1293101 1687941 2586202 3375882 3879303 7758606 11637909 23275818 24568919 49137838 73706757 147413514 221120271 442240542