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5215728 = 243719243
BaseRepresentation
bin10011111001010111110000
3100210222122010
4103321113300
52313400403
6303442520
762222130
oct23712760
910728563
105215728
112a42721
1218b6440
13110803b
1499aac0
156d0603
hex4f95f0

5215728 has 120 divisors (see below), whose sum is σ = 16629888. Its totient is φ = 1378944.

The previous prime is 5215703. The next prime is 5215729. The reversal of 5215728 is 8275125.

It is a junction number, because it is equal to n+sod(n) for n = 5215695 and 5215704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5215729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121275 + ... + 121317.

Almost surely, 25215728 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 5215728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8314944).

5215728 is an abundant number, since it is smaller than the sum of its proper divisors (11414160).

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

5215728 is a wasteful number, since it uses less digits than its factorization.

5215728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 74 counting only the distinct ones).

The product of its digits is 5600, while the sum is 30.

The square root of 5215728 is about 2283.7968386001. The cubic root of 5215728 is about 173.4223146026.

The spelling of 5215728 in words is "five million, two hundred fifteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 43 48 56 57 76 84 86 112 114 129 133 152 168 172 228 258 266 301 304 336 344 361 399 456 516 532 602 688 722 798 817 903 912 1032 1064 1083 1204 1444 1596 1634 1806 2064 2128 2166 2408 2451 2527 2888 3192 3268 3612 4332 4816 4902 5054 5719 5776 6384 6536 7224 7581 8664 9804 10108 11438 13072 14448 15162 15523 17157 17328 19608 20216 22876 30324 31046 34314 39216 40432 45752 46569 60648 62092 68628 91504 93138 108661 121296 124184 137256 186276 217322 248368 274512 325983 372552 434644 651966 745104 869288 1303932 1738576 2607864 5215728