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6405248328 = 2332946119963
BaseRepresentation
bin1011111011100100…
…00101010101001000
3121112101121022212120
411331302011111020
5101104220421303
62535330411240
7314504466243
oct57562052510
917471538776
106405248328
112797660966
1212a9130b20
137b102718b
1444a97c25a
152774d6553
hex17dc85548

6405248328 has 64 divisors (see below), whose sum is σ = 16602062400. Its totient is φ = 2056884480.

The previous prime is 6405248323. The next prime is 6405248341. The reversal of 6405248328 is 8238425046.

It is a super-2 number, since 2×64052483282 = 82054412286693591168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6405248328.

It is not an unprimeable number, because it can be changed into a prime (6405248323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310875 + ... + 330837.

It is an arithmetic number, because the mean of its divisors is an integer number (259407225).

Almost surely, 26405248328 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 6405248328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8301031200).

6405248328 is an abundant number, since it is smaller than the sum of its proper divisors (10196814072).

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

6405248328 is a wasteful number, since it uses less digits than its factorization.

6405248328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20462 (or 20458 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 6405248328 is about 80032.7953279154. The cubic root of 6405248328 is about 1857.1429068763.

The spelling of 6405248328 in words is "six billion, four hundred five million, two hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 461 696 922 1383 1844 2766 3688 5532 11064 13369 19963 26738 39926 40107 53476 59889 79852 80214 106952 119778 159704 160428 239556 320856 479112 578927 1157854 1736781 2315708 3473562 4631416 6947124 9202943 13894248 18405886 27608829 36811772 55217658 73623544 110435316 220870632 266885347 533770694 800656041 1067541388 1601312082 2135082776 3202624164 6405248328