Search a number
-
+
42290208 = 253348947
BaseRepresentation
bin1010000101010…
…0110000100000
32221120120021000
42201110300200
541311241313
64110232000
71022314032
oct241246040
987516230
1042290208
1121965294
12121b5600
1389b90bc
14588bc52
153aa5673
hex2854c20

42290208 has 48 divisors (see below), whose sum is σ = 123348960. Its totient is φ = 14096448.

The previous prime is 42290189. The next prime is 42290221. The reversal of 42290208 is 80209224.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23610 + ... + 25337.

It is an arithmetic number, because the mean of its divisors is an integer number (2569770).

Almost surely, 242290208 is an apocalyptic number.

42290208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42290208 is an abundant number, since it is smaller than the sum of its proper divisors (81058752).

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

42290208 is a wasteful number, since it uses less digits than its factorization.

42290208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48966 (or 48952 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42290208 is about 6503.0921875674. The cubic root of 42290208 is about 348.4014392343.

The spelling of 42290208 in words is "forty-two million, two hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 48947 97894 146841 195788 293682 391576 440523 587364 783152 881046 1174728 1321569 1566304 1762092 2349456 2643138 3524184 4698912 5286276 7048368 10572552 14096736 21145104 42290208