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42449664 = 283311783
BaseRepresentation
bin1010000111101…
…1101100000000
32221212122222210
42201323230000
541331342124
64113502120
71023546645
oct241735400
987778883
1042449664
1121a64074
1212271940
138a4385a
1458cddcc
153ad7a29
hex287bb00

42449664 has 72 divisors (see below), whose sum is σ = 116687872. Its totient is φ = 13685760.

The previous prime is 42449647. The next prime is 42449683. The reversal of 42449664 is 46694424.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 22917 + ... + 24699.

Almost surely, 242449664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58343936).

42449664 is an abundant number, since it is smaller than the sum of its proper divisors (74238208).

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

42449664 is a wasteful number, since it uses less digits than its factorization.

42449664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1819 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 42449664 is about 6515.3406664579. The cubic root of 42449664 is about 348.8387746923.

The spelling of 42449664 in words is "forty-two million, four hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1783 1984 2976 3566 3968 5349 5952 7132 7936 10698 11904 14264 21396 23808 28528 42792 55273 57056 85584 110546 114112 165819 171168 221092 228224 331638 342336 442184 456448 663276 684672 884368 1326552 1369344 1768736 2653104 3537472 5306208 7074944 10612416 14149888 21224832 42449664