Search a number
-
+
5248880 = 2457213103
BaseRepresentation
bin10100000001011101110000
3100212200002222
4110001131300
52320431010
6304300212
762420600
oct24013560
910780088
105248880
112a6561a
121911668
13111a160
149a8c00
156da355
hex501770

5248880 has 120 divisors (see below), whose sum is σ = 15436512. Its totient is φ = 1645056.

The previous prime is 5248879. The next prime is 5248891. The reversal of 5248880 is 888425.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5248880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50909 + ... + 51011.

Almost surely, 25248880 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 5248880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718256).

5248880 is an abundant number, since it is smaller than the sum of its proper divisors (10187632).

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

5248880 is a wasteful number, since it uses less digits than its factorization.

5248880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 5248880 is about 2291.0434304046. The cubic root of 5248880 is about 173.7889721595.

The spelling of 5248880 in words is "five million, two hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 103 104 112 130 140 182 196 206 208 245 260 280 364 392 412 455 490 515 520 560 637 721 728 784 824 910 980 1030 1040 1274 1339 1442 1456 1648 1820 1960 2060 2548 2678 2884 3185 3605 3640 3920 4120 5047 5096 5356 5768 6370 6695 7210 7280 8240 9373 10094 10192 10712 11536 12740 13390 14420 18746 20188 21424 25235 25480 26780 28840 37492 40376 46865 50470 50960 53560 57680 65611 74984 80752 93730 100940 107120 131222 149968 187460 201880 262444 328055 374920 403760 524888 656110 749840 1049776 1312220 2624440 5248880