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5063424 = 28319347
BaseRepresentation
bin10011010100001100000000
3100112020201020
4103110030000
52244012144
6300305440
761016112
oct23241400
910466636
105063424
112949253
121842280
131083912
1495b3b2
156a0419
hex4d4300

5063424 has 72 divisors (see below), whose sum is σ = 14226240. Its totient is φ = 1594368.

The previous prime is 5063389. The next prime is 5063431. The reversal of 5063424 is 4243605.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 5 + 0 + 67 + 314 + 44 + 2 + 44 .

It is a junction number, because it is equal to n+sod(n) for n = 5063394 and 5063403.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14419 + ... + 14765.

Almost surely, 25063424 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 5063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113120).

5063424 is an abundant number, since it is smaller than the sum of its proper divisors (9162816).

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

5063424 is a wasteful number, since it uses less digits than its factorization.

5063424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5063424 is about 2250.2053239649. The cubic root of 5063424 is about 171.7175823249.

The spelling of 5063424 in words is "five million, sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 347 384 456 608 694 768 912 1041 1216 1388 1824 2082 2432 2776 3648 4164 4864 5552 6593 7296 8328 11104 13186 14592 16656 19779 22208 26372 33312 39558 44416 52744 66624 79116 88832 105488 133248 158232 210976 266496 316464 421952 632928 843904 1265856 1687808 2531712 5063424