Search a number
-
+
4941961920 = 2632572979107
BaseRepresentation
bin1001001101001000…
…00101101011000000
3110202102011200021200
410212210011223000
540110120240140
62134215221200
7233315661150
oct44644055300
913672150250
104941961920
112106677155
12b5b077800
13609b1a92c
1434c4b4760
151ddce0030
hex126905ac0

4941961920 has 672 divisors, whose sum is σ = 20541081600. Its totient is φ = 1066770432.

The previous prime is 4941961919. The next prime is 4941961933. The reversal of 4941961920 is 291691494.

4941961920 is a `hidden beast` number, since 4 + 9 + 4 + 1 + 9 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46186507 + ... + 46186613.

Almost surely, 24941961920 is an apocalyptic number.

4941961920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4941961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10270540800).

4941961920 is an abundant number, since it is smaller than the sum of its proper divisors (15599119680).

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

4941961920 is a wasteful number, since it uses less digits than its factorization.

4941961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 4941961920 is about 70299.0890410395. The cubic root of 4941961920 is about 1703.3339326296. Note that the first 3 decimals are identical.

The spelling of 4941961920 in words is "four billion, nine hundred forty-one million, nine hundred sixty-one thousand, nine hundred twenty".