Search a number
-
+
5248920 = 2335173183
BaseRepresentation
bin10100000001011110011000
3100212200011110
4110001132120
52320431140
6304300320
762420655
oct24013630
910780143
105248920
112a65656
1219116a0
13111a191
149a8c2c
156da380
hex501798

5248920 has 128 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 1259520.

The previous prime is 5248907. The next prime is 5248927. The reversal of 5248920 is 298425.

5248920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×52489202 = 55102322332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5248927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63199 + ... + 63281.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 25248920 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 5248920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

5248920 is an abundant number, since it is smaller than the sum of its proper divisors (12169320).

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

5248920 is a wasteful number, since it uses less digits than its factorization.

5248920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5248920 is about 2291.0521600348. The cubic root of 5248920 is about 173.7894136214.

The spelling of 5248920 in words is "five million, two hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 31 34 40 51 60 62 68 83 85 93 102 120 124 136 155 166 170 186 204 248 249 255 310 332 340 372 408 415 465 498 510 527 620 664 680 744 830 930 996 1020 1054 1240 1245 1411 1581 1660 1860 1992 2040 2108 2490 2573 2635 2822 3162 3320 3720 4216 4233 4980 5146 5270 5644 6324 7055 7719 7905 8466 9960 10292 10540 11288 12648 12865 14110 15438 15810 16932 20584 21080 21165 25730 28220 30876 31620 33864 38595 42330 43741 51460 56440 61752 63240 77190 84660 87482 102920 131223 154380 169320 174964 218705 262446 308760 349928 437410 524892 656115 874820 1049784 1312230 1749640 2624460 5248920