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5248512 = 29321767
BaseRepresentation
bin10100000001011000000000
3100212122121100
4110001120000
52320423022
6304254400
762416533
oct24013000
910778540
105248512
112a65315
121911400
131119c39
149a8a1a
156da1ac
hex501600

5248512 has 120 divisors (see below), whose sum is σ = 16277976. Its totient is φ = 1622016.

The previous prime is 5248499. The next prime is 5248513. The reversal of 5248512 is 2158425.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5248513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78303 + ... + 78369.

Almost surely, 25248512 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 5248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138988).

5248512 is an abundant number, since it is smaller than the sum of its proper divisors (11029464).

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

5248512 is a wasteful number, since it uses less digits than its factorization.

5248512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 5248512 is about 2290.9631162461. The cubic root of 5248512 is about 173.7849106050.

The spelling of 5248512 in words is "five million, two hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 67 68 72 96 102 128 134 136 144 153 192 201 204 256 268 272 288 306 384 402 408 512 536 544 576 603 612 768 804 816 1072 1088 1139 1152 1206 1224 1536 1608 1632 2144 2176 2278 2304 2412 2448 3216 3264 3417 4288 4352 4556 4608 4824 4896 6432 6528 6834 8576 8704 9112 9648 9792 10251 12864 13056 13668 17152 18224 19296 19584 20502 25728 26112 27336 34304 36448 38592 39168 41004 51456 54672 72896 77184 78336 82008 102912 109344 145792 154368 164016 218688 291584 308736 328032 437376 583168 656064 874752 1312128 1749504 2624256 5248512