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264615428 = 227116712823
BaseRepresentation
bin11111100010110…
…11011000000100
3200102220212010102
433301123120010
51020220143203
642131343232
76362123360
oct1761333004
9612825112
10264615428
11126406540
1274751b18
1342a8bc9c
14272022a0
151836e888
hexfc5b604

264615428 has 48 divisors (see below), whose sum is σ = 586005504. Its totient is φ = 101550240.

The previous prime is 264615427. The next prime is 264615479. The reversal of 264615428 is 824516462.

264615428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 264615391 and 264615400.

It is not an unprimeable number, because it can be changed into a prime (264615427) 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, 14225 + ... + 27047.

It is an arithmetic number, because the mean of its divisors is an integer number (12208448).

Almost surely, 2264615428 is an apocalyptic number.

264615428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264615428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293002752).

264615428 is an abundant number, since it is smaller than the sum of its proper divisors (321390076).

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

264615428 is a wasteful number, since it uses less digits than its factorization.

264615428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12912 (or 12910 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 264615428 is about 16267.0042724529. The cubic root of 264615428 is about 642.0049656225.

The spelling of 264615428 in words is "two hundred sixty-four million, six hundred fifteen thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 134 154 268 308 469 737 938 1474 1876 2948 5159 10318 12823 20636 25646 51292 89761 141053 179522 282106 359044 564212 859141 987371 1718282 1974742 3436564 3949484 6013987 9450551 12027974 18901102 24055948 37802204 66153857 132307714 264615428