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4954752000 = 2103253111723
BaseRepresentation
bin1001001110101001…
…11000010000000000
3110210022020110222100
410213110320100000
540121404031000
62135353310400
7233532461052
oct44724702000
913708213870
104954752000
112112912570
12b63405400
1360c678423
143500838d2
151deeb9a00
hex127538400

4954752000 has 1056 divisors, whose sum is σ = 21520422144. Its totient is φ = 1081344000.

The previous prime is 4954751959. The next prime is 4954752031. The reversal of 4954752000 is 2574594.

4954752000 is a `hidden beast` number, since 4 + 95 + 47 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215423989 + ... + 215424011.

Almost surely, 24954752000 is an apocalyptic number.

4954752000 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 4954752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10760211072).

4954752000 is an abundant number, since it is smaller than the sum of its proper divisors (16565670144).

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

4954752000 is a wasteful number, since it uses less digits than its factorization.

4954752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4954752000 is about 70389.9992896718. Note that the first 3 decimals coincide. The cubic root of 4954752000 is about 1704.8021086505.

The spelling of 4954752000 in words is "four billion, nine hundred fifty-four million, seven hundred fifty-two thousand".