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42906456 = 2333198641
BaseRepresentation
bin1010001110101…
…1001101011000
32222201212121000
42203223031120
541441001311
64131345000
71030461465
oct243531530
988655530
1042906456
112224628a
1212452160
138b73748
1459ac66c
153b78056
hex28eb358

42906456 has 32 divisors (see below), whose sum is σ = 119185200. Its totient is φ = 14302080.

The previous prime is 42906443. The next prime is 42906463. The reversal of 42906456 is 65460924.

42906456 is a `hidden beast` number, since 4 + 2 + 9 + 0 + 645 + 6 = 666.

42906456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 42906456.

It is a congruent number.

It is an unprimeable number.

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, 99105 + ... + 99536.

Almost surely, 242906456 is an apocalyptic number.

It is an amenable number.

42906456 is an abundant number, since it is smaller than the sum of its proper divisors (76278744).

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

42906456 is a wasteful number, since it uses less digits than its factorization.

42906456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198656 (or 198646 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 42906456 is about 6550.3019777717. The cubic root of 42906456 is about 350.0855736337.

The spelling of 42906456 in words is "forty-two million, nine hundred six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 198641 397282 595923 794564 1191846 1589128 1787769 2383692 3575538 4767384 5363307 7151076 10726614 14302152 21453228 42906456