Search a number
-
+
146247444 = 2234764483
BaseRepresentation
bin10001011011110…
…00111100010100
3101012012010210000
420231320330110
5244414404234
622302331300
73424040250
oct1055707424
9335163700
10146247444
1175609962
1240b89b30
13243b6b65
14155cd260
15cc8c899
hex8b78f14

146247444 has 60 divisors (see below), whose sum is σ = 436943584. Its totient is φ = 41784336.

The previous prime is 146247443. The next prime is 146247449. The reversal of 146247444 is 444742641.

146247444 is a `hidden beast` number, since 146 + 2 + 474 + 44 = 666.

146247444 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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 146247399 and 146247408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146247443) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29974 + ... + 34509.

Almost surely, 2146247444 is an apocalyptic number.

146247444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146247444 is an abundant number, since it is smaller than the sum of its proper divisors (290696140).

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

146247444 is a wasteful number, since it uses less digits than its factorization.

146247444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64506 (or 64495 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 146247444 is about 12093.2809443922. The cubic root of 146247444 is about 526.8610521757.

The spelling of 146247444 in words is "one hundred forty-six million, two hundred forty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 64483 128966 193449 257932 386898 451381 580347 773796 902762 1160694 1354143 1741041 1805524 2321388 2708286 3482082 4062429 5223123 5416572 6964164 8124858 10446246 12187287 16249716 20892492 24374574 36561861 48749148 73123722 146247444