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5188352 = 28131559
BaseRepresentation
bin10011110010101100000000
3100202121002012
4103302230000
52312011402
6303112052
762046251
oct23625400
910677065
105188352
112a240a4
1218a2628
1310c8740
14990b28
156c7452
hex4f2b00

5188352 has 36 divisors (see below), whose sum is σ = 11160240. Its totient is φ = 2393088.

The previous prime is 5188343. The next prime is 5188411. The reversal of 5188352 is 2538815.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2549 + ... + 4107.

Almost surely, 25188352 is an apocalyptic number.

5188352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5188352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580120).

5188352 is an abundant number, since it is smaller than the sum of its proper divisors (5971888).

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

5188352 is a wasteful number, since it uses less digits than its factorization.

5188352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1574 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 5188352 is about 2277.7954254059. The cubic root of 5188352 is about 173.1183659872.

The spelling of 5188352 in words is "five million, one hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1559 1664 3118 3328 6236 12472 20267 24944 40534 49888 81068 99776 162136 199552 324272 399104 648544 1297088 2594176 5188352