Search a number
-
+
42900864 = 273111721
BaseRepresentation
bin1010001110100…
…1110110000000
32222201120220220
42203221312000
541440311424
64131303040
71030436256
oct243516600
988646826
1042900864
1122242066
121244aa80
138b71036
1459aa5d6
153b76579
hex28e9d80

42900864 has 32 divisors (see below), whose sum is σ = 113956440. Its totient is φ = 14300160.

The previous prime is 42900863. The next prime is 42900959. The reversal of 42900864 is 46800924.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42900863) 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 3 ways as a sum of consecutive naturals, for example, 55477 + ... + 56244.

Almost surely, 242900864 is an apocalyptic number.

It is an amenable number.

42900864 is an abundant number, since it is smaller than the sum of its proper divisors (71055576).

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

42900864 is a wasteful number, since it uses less digits than its factorization.

42900864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111738 (or 111726 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42900864 is about 6549.8751133132. The cubic root of 42900864 is about 350.0703640843.

The spelling of 42900864 in words is "forty-two million, nine hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 111721 223442 335163 446884 670326 893768 1340652 1787536 2681304 3575072 5362608 7150144 10725216 14300288 21450432 42900864