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442557 = 3337443
BaseRepresentation
bin1101100000010111101
3211111002000
41230002331
5103130212
613252513
73522153
oct1540275
9744060
10442557
11282555
12194139
1312658b
14b73d3
158b1dc
hex6c0bd

442557 has 16 divisors (see below), whose sum is σ = 674880. Its totient is φ = 286416.

The previous prime is 442537. The next prime is 442571. The reversal of 442557 is 755244.

It is not a de Polignac number, because 442557 - 211 = 440509 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 442557.

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 442557.

It is not an unprimeable number, because it can be changed into a prime (442517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (42180).

2442557 is an apocalyptic number.

442557 is the 333-rd decagonal number.

It is an amenable number.

442557 is a deficient number, since it is larger than the sum of its proper divisors (232323).

442557 is a wasteful number, since it uses less digits than its factorization.

442557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 483 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 442557 is about 665.2495772265. The cubic root of 442557 is about 76.2061003238.

It can be divided in two parts, 442 and 557, that added together give a palindrome (999).

The spelling of 442557 in words is "four hundred forty-two thousand, five hundred fifty-seven".

Divisors: 1 3 9 27 37 111 333 443 999 1329 3987 11961 16391 49173 147519 442557