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641854752 = 253711312801
BaseRepresentation
bin100110010000011…
…110110100100000
31122201202121012020
4212100132310200
52303303323002
6143405101440
721622450440
oct4620366440
91581677166
10641854752
112aa345a80
1215ab57880
13a2c91716
1461360120
153b5392bc
hex2641ed20

641854752 has 192 divisors, whose sum is σ = 2169151488. Its totient is φ = 161280000.

The previous prime is 641854729. The next prime is 641854753. The reversal of 641854752 is 257458146.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (641854753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227752 + ... + 230552.

It is an arithmetic number, because the mean of its divisors is an integer number (11297664).

Almost surely, 2641854752 is an apocalyptic number.

641854752 is a gapful number since it is divisible by the number (62) 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 641854752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084575744).

641854752 is an abundant number, since it is smaller than the sum of its proper divisors (1527296736).

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

641854752 is a wasteful number, since it uses less digits than its factorization.

641854752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2855 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 641854752 is about 25334.8525158525. The cubic root of 641854752 is about 862.6055610350.

The spelling of 641854752 in words is "six hundred forty-one million, eight hundred fifty-four thousand, seven hundred fifty-two".