Search a number
-
+
6600464 = 241322441
BaseRepresentation
bin11001001011011100010000
3110102100010122
4121023130100
53142203324
6353245412
7110050223
oct31133420
913370118
106600464
1137a9032
122263868
1314a1400
14c3b5ba
158a5a5e
hex64b710

6600464 has 30 divisors (see below), whose sum is σ = 13853466. Its totient is φ = 3045120.

The previous prime is 6600449. The next prime is 6600491. The reversal of 6600464 is 4640066.

It can be written as a sum of positive squares in 3 ways, for example, as 350464 + 6250000 = 592^2 + 2500^2 .

It is a super-2 number, since 2×66004642 = 87132250030592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1484 + ... + 3924.

Almost surely, 26600464 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 6600464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926733).

6600464 is an abundant number, since it is smaller than the sum of its proper divisors (7253002).

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

6600464 is a wasteful number, since it uses less digits than its factorization.

6600464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 6600464 is about 2569.1368200234. The cubic root of 6600464 is about 187.5821411950.

The spelling of 6600464 in words is "six million, six hundred thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2441 2704 4882 9764 19528 31733 39056 63466 126932 253864 412529 507728 825058 1650116 3300232 6600464