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449442 = 23372941
BaseRepresentation
bin1101101101110100010
3211211112000
41231232202
5103340232
613344430
73551220
oct1555642
9754460
10449442
11287744
12198116
13129756
14b9b10
158d27c
hex6dba2

449442 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 120960.

The previous prime is 449441. The next prime is 449459. The reversal of 449442 is 244944.

It is a super-2 number, since 2×4494422 = 403996222728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (449441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10942 + ... + 10982.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2449442 is an apocalyptic number.

449442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 449442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

449442 is an abundant number, since it is smaller than the sum of its proper divisors (760158).

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

449442 is a wasteful number, since it uses less digits than its factorization.

449442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 82 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 449442 is about 670.4043555944. The cubic root of 449442 is about 76.5992560152.

The spelling of 449442 in words is "four hundred forty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 41 42 54 58 63 82 87 123 126 174 189 203 246 261 287 369 378 406 522 574 609 738 783 861 1107 1189 1218 1566 1722 1827 2214 2378 2583 3567 3654 5166 5481 7134 7749 8323 10701 10962 15498 16646 21402 24969 32103 49938 64206 74907 149814 224721 449442