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42056608 = 2511163733
BaseRepresentation
bin1010000001101…
…1101110100000
32221010200211011
42200123232200
541231302413
64101230304
71020322006
oct240335640
987120734
1042056608
1121815830
1212102394
138936989
14582aa76
153a5b33d
hex281bba0

42056608 has 48 divisors (see below), whose sum is σ = 91004256. Its totient is φ = 18973440.

The previous prime is 42056603. The next prime is 42056621. The reversal of 42056608 is 80665024.

It is a self number, because there is not a number n which added to its sum of digits gives 42056608.

It is not an unprimeable number, because it can be changed into a prime (42056603) by changing a digit.

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, 57010 + ... + 57742.

It is an arithmetic number, because the mean of its divisors is an integer number (1895922).

Almost surely, 242056608 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 42056608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45502128).

42056608 is an abundant number, since it is smaller than the sum of its proper divisors (48947648).

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

42056608 is a wasteful number, since it uses less digits than its factorization.

42056608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 42056608 is about 6485.1066298096. The cubic root of 42056608 is about 347.7587617737.

The spelling of 42056608 in words is "forty-two million, fifty-six thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 163 176 326 352 652 733 1304 1466 1793 2608 2932 3586 5216 5864 7172 8063 11728 14344 16126 23456 28688 32252 57376 64504 119479 129008 238958 258016 477916 955832 1314269 1911664 2628538 3823328 5257076 10514152 21028304 42056608