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42399456 = 2531140151
BaseRepresentation
bin1010000110111…
…1011011100000
32221210010010020
42201233123200
541323240311
64112433440
71023250401
oct241573340
987703106
1042399456
1121a2a380
1212248880
138a26a48
1458b99a8
153ac7c06
hex286f6e0

42399456 has 48 divisors (see below), whose sum is σ = 121419648. Its totient is φ = 12848000.

The previous prime is 42399443. The next prime is 42399457. The reversal of 42399456 is 65499324.

42399456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42399457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19020 + ... + 21131.

It is an arithmetic number, because the mean of its divisors is an integer number (2529576).

Almost surely, 242399456 is an apocalyptic number.

It is an amenable number.

42399456 is an abundant number, since it is smaller than the sum of its proper divisors (79020192).

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

42399456 is a wasteful number, since it uses less digits than its factorization.

42399456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40175 (or 40167 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 42399456 is about 6511.4864662380. The cubic root of 42399456 is about 348.7011889396.

It can be divided in two parts, 4239 and 9456, that added together give a triangular number (13695 = T165).

The spelling of 42399456 in words is "forty-two million, three hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 40151 80302 120453 160604 240906 321208 441661 481812 642416 883322 963624 1284832 1324983 1766644 1927248 2649966 3533288 3854496 5299932 7066576 10599864 14133152 21199728 42399456