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5128464 = 243112883
BaseRepresentation
bin10011100100000100010000
3100122112221010
4103210010100
52303102324
6301530520
761406535
oct23440420
910575833
105128464
112993100
121873a40
1310a73c3
14976d8c
156b4829
hex4e4110

5128464 has 60 divisors (see below), whose sum is σ = 14578928. Its totient is φ = 1552320.

The previous prime is 5128463. The next prime is 5128489. The reversal of 5128464 is 4648215.

It is a super-2 number, since 2×51284642 = 52602285998592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5128463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5367 + ... + 6249.

Almost surely, 25128464 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 5128464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7289464).

5128464 is an abundant number, since it is smaller than the sum of its proper divisors (9450464).

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

5128464 is a wasteful number, since it uses less digits than its factorization.

5128464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 899 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 5128464 is about 2264.6112249126. The cubic root of 5128464 is about 172.4496975782.

Subtracting from 5128464 its reverse (4648215), we obtain a square (480249 = 6932).

The spelling of 5128464 in words is "five million, one hundred twenty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 883 968 1452 1766 1936 2649 2904 3532 5298 5808 7064 9713 10596 14128 19426 21192 29139 38852 42384 58278 77704 106843 116556 155408 213686 233112 320529 427372 466224 641058 854744 1282116 1709488 2564232 5128464