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648095232 = 293616917
BaseRepresentation
bin100110101000010…
…010011000000000
31200011111122112010
4212220102120000
52311403021412
6144150532520
722026501321
oct4650223000
91604448463
10648095232
113029185a4
12161067140
13a4368005
1462106448
153bd6d33c
hex26a12600

648095232 has 80 divisors (see below), whose sum is σ = 1755124272. Its totient is φ = 212459520.

The previous prime is 648095213. The next prime is 648095237. The reversal of 648095232 is 232590846.

It is a happy number.

It is a super-3 number, since 3×6480952323 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648095237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90238 + ... + 97154.

Almost surely, 2648095232 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 648095232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877562136).

648095232 is an abundant number, since it is smaller than the sum of its proper divisors (1107029040).

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

648095232 is an equidigital number, since it uses as much as digits as its factorization.

648095232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 648095232 is about 25457.7145871345. The cubic root of 648095232 is about 865.3921315620.

The spelling of 648095232 in words is "six hundred forty-eight million, ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1464 1536 1952 2928 3904 5856 6917 7808 11712 13834 15616 20751 23424 27668 31232 41502 46848 55336 83004 93696 110672 166008 221344 332016 421937 442688 664032 843874 885376 1265811 1328064 1687748 1770752 2531622 2656128 3375496 3541504 5063244 5312256 6750992 10126488 10624512 13501984 20252976 27003968 40505952 54007936 81011904 108015872 162023808 216031744 324047616 648095232