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5128448 = 28132367
BaseRepresentation
bin10011100100000100000000
3100122112220112
4103210010000
52303102243
6301530452
761406513
oct23440400
910575815
105128448
112993096
121873a28
1310a73b0
14976d7a
156b4818
hex4e4100

5128448 has 72 divisors (see below), whose sum is σ = 11675328. Its totient is φ = 2230272.

The previous prime is 5128433. The next prime is 5128463. The reversal of 5128448 is 8448215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5128433) and next prime (5128463).

It is a Harshad number since it is a multiple of its sum of digits (32).

5128448 is a modest number, since divided by 8448 gives 512 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76511 + ... + 76577.

Almost surely, 25128448 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 5128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837664).

5128448 is an abundant number, since it is smaller than the sum of its proper divisors (6546880).

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

5128448 is a wasteful number, since it uses less digits than its factorization.

5128448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its digits is 10240, while the sum is 32.

The square root of 5128448 is about 2264.6076922946. The cubic root of 5128448 is about 172.4495182393.

The spelling of 5128448 in words is "five million, one hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 67 92 104 128 134 184 208 256 268 299 368 416 536 598 736 832 871 1072 1196 1472 1541 1664 1742 2144 2392 2944 3082 3328 3484 4288 4784 5888 6164 6968 8576 9568 12328 13936 17152 19136 20033 24656 27872 38272 40066 49312 55744 76544 80132 98624 111488 160264 197248 222976 320528 394496 641056 1282112 2564224 5128448