Search a number
-
+
4642145244 = 22321111722589
BaseRepresentation
bin1000101001011000…
…11000001111011100
3102222112000102010100
410110230120033130
534001342121434
62044345141100
7223015404102
oct42454301734
912875012110
104642145244
111a72408480
12a9678a790
1358c985409
1432074bc72
151c281a699
hex114b183dc

4642145244 has 36 divisors (see below), whose sum is σ = 12801068280. Its totient is φ = 1406710560.

The previous prime is 4642145231. The next prime is 4642145279. The reversal of 4642145244 is 4425412464.

4642145244 is a `hidden beast` number, since 4 + 642 + 1 + 4 + 5 + 2 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4642145199 and 4642145208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5860899 + ... + 5861690.

It is an arithmetic number, because the mean of its divisors is an integer number (355585230).

Almost surely, 24642145244 is an apocalyptic number.

4642145244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4642145244 is an abundant number, since it is smaller than the sum of its proper divisors (8158923036).

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

4642145244 is a wasteful number, since it uses less digits than its factorization.

4642145244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722610 (or 11722605 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 4642145244 is about 68133.2902772206. The cubic root of 4642145244 is about 1668.1671890452.

The spelling of 4642145244 in words is "four billion, six hundred forty-two million, one hundred forty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 11722589 23445178 35167767 46890356 70335534 105503301 128948479 140671068 211006602 257896958 386845437 422013204 515793916 773690874 1160536311 1547381748 2321072622 4642145244