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5378912 = 257113759
BaseRepresentation
bin10100100001001101100000
3101010021110222
4110201031200
52334111122
6311142212
763501650
oct24411540
911107428
105378912
113044290
121974968
1311643b6
14a00360
15713b42
hex521360

5378912 has 96 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 2004480.

The previous prime is 5378911. The next prime is 5378921. The reversal of 5378912 is 2198735.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5378911) 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, 91139 + ... + 91197.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 25378912 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 5378912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

5378912 is an abundant number, since it is smaller than the sum of its proper divisors (8410528).

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

5378912 is a wasteful number, since it uses less digits than its factorization.

5378912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 5378912 is about 2319.2481540361. The cubic root of 5378912 is about 175.2123897467.

It can be divided in two parts, 537 and 8912, that added together give a palindrome (9449).

The spelling of 5378912 in words is "five million, three hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 59 74 77 88 112 118 148 154 176 224 236 259 296 308 352 407 413 472 518 592 616 649 814 826 944 1036 1184 1232 1298 1628 1652 1888 2072 2183 2464 2596 2849 3256 3304 4144 4366 4543 5192 5698 6512 6608 8288 8732 9086 10384 11396 13024 13216 15281 17464 18172 20768 22792 24013 30562 34928 36344 45584 48026 61124 69856 72688 91168 96052 122248 145376 168091 192104 244496 336182 384208 488992 672364 768416 1344728 2689456 5378912