Search a number
-
+
202894944 = 2537301927
BaseRepresentation
bin11000001011111…
…10111001100000
3112010210010112120
430011332321200
5403420114234
632044424240
75012402310
oct1405767140
9463703476
10202894944
11a458aa7a
1257b48080
133305bba5
141cd37440
1512c2c049
hexc17ee60

202894944 has 48 divisors (see below), whose sum is σ = 608686848. Its totient is φ = 57969792.

The previous prime is 202894943. The next prime is 202894957. The reversal of 202894944 is 449498202.

202894944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 202894896 and 202894905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202894943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150292 + ... + 151635.

It is an arithmetic number, because the mean of its divisors is an integer number (12680976).

Almost surely, 2202894944 is an apocalyptic number.

202894944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202894944 is an abundant number, since it is smaller than the sum of its proper divisors (405791904).

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

202894944 is a wasteful number, since it uses less digits than its factorization.

202894944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301947 (or 301939 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 202894944 is about 14244.1196288153. The cubic root of 202894944 is about 587.6116645452.

The spelling of 202894944 in words is "two hundred two million, eight hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 301927 603854 905781 1207708 1811562 2113489 2415416 3623124 4226978 4830832 6340467 7246248 8453956 9661664 12680934 14492496 16907912 25361868 28984992 33815824 50723736 67631648 101447472 202894944