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42804496 = 247537211
BaseRepresentation
bin1010001101001…
…0010100010000
32222112200201201
42203102110100
541424220441
64125240544
71026555310
oct243222420
988480651
1042804496
1122186719
1212403154
138b39207
145983440
153b57c31
hex28d2510

42804496 has 40 divisors (see below), whose sum is σ = 96583104. Its totient is φ = 17996160.

The previous prime is 42804467. The next prime is 42804497. The reversal of 42804496 is 69440824.

It is not an unprimeable number, because it can be changed into a prime (42804497) 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, 2331 + ... + 9541.

Almost surely, 242804496 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 42804496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48291552).

42804496 is an abundant number, since it is smaller than the sum of its proper divisors (53778608).

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

42804496 is a wasteful number, since it uses less digits than its factorization.

42804496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7273 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 42804496 is about 6542.5145013213. The cubic root of 42804496 is about 349.8080471262.

The spelling of 42804496 in words is "forty-two million, eight hundred four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2968 5936 7211 14422 28844 50477 57688 100954 115376 201908 382183 403816 764366 807632 1528732 2675281 3057464 5350562 6114928 10701124 21402248 42804496