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630094752 = 2532723107127
BaseRepresentation
bin100101100011100…
…111101110100000
31121220122010111200
4211203213232200
52242301013002
6142305041200
721420500640
oct4543475640
91556563450
10630094752
112a3743571
12157026200
13a0704a41
145d97c520
153a4b4b1c
hex258e7ba0

630094752 has 288 divisors, whose sum is σ = 2173796352. Its totient is φ = 169247232.

The previous prime is 630094727. The next prime is 630094769. The reversal of 630094752 is 257490036.

630094752 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 (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4961313 + ... + 4961439.

It is an arithmetic number, because the mean of its divisors is an integer number (7547904).

Almost surely, 2630094752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630094752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086898176).

630094752 is an abundant number, since it is smaller than the sum of its proper divisors (1543701600).

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

630094752 is a wasteful number, since it uses less digits than its factorization.

630094752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 630094752 is about 25101.6882300773. The cubic root of 630094752 is about 857.3048634729.

The spelling of 630094752 in words is "six hundred thirty million, ninety-four thousand, seven hundred fifty-two".