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5557248 = 2103467
BaseRepresentation
bin10101001100110000000000
3101110100010000
4111030300000
52410312443
6315040000
765143614
oct25146000
911410100
105557248
113156274
121a40000
1311c7618
14a49344
1574b8d3
hex54cc00

5557248 has 110 divisors (see below), whose sum is σ = 16842716. Its totient is φ = 1824768.

The previous prime is 5557247. The next prime is 5557261. The reversal of 5557248 is 8427555.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5557247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82911 + ... + 82977.

Almost surely, 25557248 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 5557248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8421358).

5557248 is an abundant number, since it is smaller than the sum of its proper divisors (11285468).

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

5557248 is an equidigital number, since it uses as much as digits as its factorization.

5557248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The square root of 5557248 is about 2357.3815982993. The cubic root of 5557248 is about 177.1277446104.

The spelling of 5557248 in words is "five million, five hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 128 134 144 162 192 201 216 256 268 288 324 384 402 432 512 536 576 603 648 768 804 864 1024 1072 1152 1206 1296 1536 1608 1728 1809 2144 2304 2412 2592 3072 3216 3456 3618 4288 4608 4824 5184 5427 6432 6912 7236 8576 9216 9648 10368 10854 12864 13824 14472 17152 19296 20736 21708 25728 27648 28944 34304 38592 41472 43416 51456 57888 68608 77184 82944 86832 102912 115776 154368 173664 205824 231552 308736 347328 463104 617472 694656 926208 1389312 1852416 2778624 5557248