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641006096 = 24315092539
BaseRepresentation
bin100110001101001…
…111101000010000
31122200011111001112
4212031033220100
52303044143341
6143334552452
721612314303
oct4615175020
91580144045
10641006096
112a9916405
1215a808728
13a2a55363
14611bcb3a
153b41caeb
hex2634fa10

641006096 has 40 divisors (see below), whose sum is σ = 1285036800. Its totient is φ = 309432960.

The previous prime is 641006089. The next prime is 641006099. The reversal of 641006096 is 690600146.

It is a super-2 number, since 2×6410060962 = 821777630218322432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (641006099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251195 + ... + 253733.

It is an arithmetic number, because the mean of its divisors is an integer number (32125920).

Almost surely, 2641006096 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 641006096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642518400).

641006096 is an abundant number, since it is smaller than the sum of its proper divisors (644030704).

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

641006096 is a wasteful number, since it uses less digits than its factorization.

641006096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 641006096 is about 25318.0981908199. The cubic root of 641006096 is about 862.2252162817.

The spelling of 641006096 in words is "six hundred forty-one million, six thousand, ninety-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 509 1018 2036 2539 4072 5078 8144 10156 15779 20312 31558 40624 63116 78709 126232 157418 252464 314836 629672 1259344 1292351 2584702 5169404 10338808 20677616 40062881 80125762 160251524 320503048 641006096