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42455456 = 2559113199
BaseRepresentation
bin1010000111110…
…1000110100000
32221212221221022
42201331012200
541332033311
64113545012
71023602561
oct241750640
987787838
1042455456
1121a6845a
1212275168
138a46394
1458d2168
153ad95db
hex287d1a0

42455456 has 48 divisors (see below), whose sum is σ = 86184000. Its totient is φ = 20579328.

The previous prime is 42455423. The next prime is 42455471. The reversal of 42455456 is 65455424.

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, 213245 + ... + 213443.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 242455456 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 42455456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092000).

42455456 is an abundant number, since it is smaller than the sum of its proper divisors (43728544).

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

42455456 is a wasteful number, since it uses less digits than its factorization.

42455456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 373 counting only the distinct ones).

The product of its digits is 96000, while the sum is 35.

The square root of 42455456 is about 6515.7851407179. The cubic root of 42455456 is about 348.8546396180.

The spelling of 42455456 in words is "forty-two million, four hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 59 113 118 199 226 236 398 452 472 796 904 944 1592 1808 1888 3184 3616 6368 6667 11741 13334 22487 23482 26668 44974 46964 53336 89948 93928 106672 179896 187856 213344 359792 375712 719584 1326733 2653466 5306932 10613864 21227728 42455456