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641672832 = 2734338861
BaseRepresentation
bin100110001111110…
…010011010000000
31122201102100122110
4212033302122000
52303232012312
6143401135320
721621062163
oct4617623200
91581370573
10641672832
112aa231329
1215aa8a540
13a2c29988
1461313ada
153b50043c
hex263f2680

641672832 has 64 divisors (see below), whose sum is σ = 1744126560. Its totient is φ = 208911360.

The previous prime is 641672819. The next prime is 641672851. The reversal of 641672832 is 238276146.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 2919 + ... + 35942.

Almost surely, 2641672832 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 641672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872063280).

641672832 is an abundant number, since it is smaller than the sum of its proper divisors (1102453728).

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

641672832 is a wasteful number, since it uses less digits than its factorization.

641672832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38921 (or 38909 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 641672832 is about 25331.2619504043. The cubic root of 641672832 is about 862.5240576360.

The spelling of 641672832 in words is "six hundred forty-one million, six hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 5504 8256 16512 38861 77722 116583 155444 233166 310888 466332 621776 932664 1243552 1671023 1865328 2487104 3342046 3730656 4974208 5013069 6684092 7461312 10026138 13368184 14922624 20052276 26736368 40104552 53472736 80209104 106945472 160418208 213890944 320836416 641672832