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648382072 = 231353791489
BaseRepresentation
bin100110101001011…
…000011001111000
31200012001012222211
4212221120121320
52311441211242
6144201024504
722032104512
oct4651303170
91605035884
10648382072
11302aa4058
12161185134
13a4438740
146217cbb2
153bdc8317
hex26a58678

648382072 has 64 divisors (see below), whose sum is σ = 1351728000. Its totient is φ = 289695744.

The previous prime is 648382069. The next prime is 648382099. The reversal of 648382072 is 270283846.

It is a super-2 number, since 2×6483820722 = 840798622582026368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434704 + ... + 436192.

It is an arithmetic number, because the mean of its divisors is an integer number (21120750).

Almost surely, 2648382072 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 648382072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675864000).

648382072 is an abundant number, since it is smaller than the sum of its proper divisors (703345928).

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

648382072 is a wasteful number, since it uses less digits than its factorization.

648382072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 648382072 is about 25463.3476196670. The cubic root of 648382072 is about 865.5197838239.

The spelling of 648382072 in words is "six hundred forty-eight million, three hundred eighty-two thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 53 79 104 106 158 212 316 424 632 689 1027 1378 1489 2054 2756 2978 4108 4187 5512 5956 8216 8374 11912 16748 19357 33496 38714 54431 77428 78917 108862 117631 154856 157834 217724 235262 315668 435448 470524 631336 941048 1025921 1529203 2051842 3058406 4103684 6116812 6234443 8207368 12233624 12468886 24937772 49875544 81047759 162095518 324191036 648382072