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42404736 = 2731110039
BaseRepresentation
bin1010000111000…
…0101110000000
32221210101100210
42201300232000
541323422421
64112514120
71023301653
oct241605600
987711323
1042404736
1121a33340
121224b940
138a2927a
1458bb89a
153ac9576
hex2870b80

42404736 has 64 divisors (see below), whose sum is σ = 122889600. Its totient is φ = 12848640.

The previous prime is 42404729. The next prime is 42404737. The reversal of 42404736 is 63740424.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42404737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 796 + ... + 9243.

It is an arithmetic number, because the mean of its divisors is an integer number (1920150).

Almost surely, 242404736 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 42404736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61444800).

42404736 is an abundant number, since it is smaller than the sum of its proper divisors (80484864).

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

42404736 is a wasteful number, since it uses less digits than its factorization.

42404736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 42404736 is about 6511.8918909945. The cubic root of 42404736 is about 348.7156629135.

The spelling of 42404736 in words is "forty-two million, four hundred four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 10039 20078 30117 40156 60234 80312 110429 120468 160624 220858 240936 321248 331287 441716 481872 642496 662574 883432 963744 1284992 1325148 1766864 1927488 2650296 3533728 3854976 5300592 7067456 10601184 14134912 21202368 42404736