Search a number
-
+
5229952 = 27713449
BaseRepresentation
bin10011111100110110000000
3100211201010221
4103330312000
52314324302
6304032424
762311450
oct23746600
910751127
105229952
112a52382
121902714
131111660
149a1d60
156d4937
hex4fcd80

5229952 has 64 divisors (see below), whose sum is σ = 12852000. Its totient is φ = 2064384.

The previous prime is 5229943. The next prime is 5229967. The reversal of 5229952 is 2599225.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11424 + ... + 11872.

Almost surely, 25229952 is an apocalyptic number.

5229952 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 5229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426000).

5229952 is an abundant number, since it is smaller than the sum of its proper divisors (7622048).

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

5229952 is a wasteful number, since it uses less digits than its factorization.

5229952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its digits is 16200, while the sum is 34.

The square root of 5229952 is about 2286.9088307145. The cubic root of 5229952 is about 173.5798202598.

It can be divided in two parts, 52 and 29952, that multiplied together give a square (1557504 = 12482).

The spelling of 5229952 in words is "five million, two hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 449 728 832 896 898 1456 1664 1796 2912 3143 3592 5824 5837 6286 7184 11648 11674 12572 14368 23348 25144 28736 40859 46696 50288 57472 81718 93392 100576 163436 186784 201152 326872 373568 402304 653744 747136 1307488 2614976 5229952