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15241216 = 212612
BaseRepresentation
bin111010001001…
…000000000000
31001200100000111
4322021000000
512400204331
61302401104
7243356014
oct72110000
931610014
1015241216
11866aa51
125130194
133208393
14204a544
151510db1
hexe89000

15241216 has 39 divisors (see below), whose sum is σ = 30986553. Its totient is φ = 7495680.

The previous prime is 15241201. The next prime is 15241223. The reversal of 15241216 is 61214251.

The square root of 15241216 is 3904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 495616 + 14745600 = 704^2 + 3840^2 .

It is a Duffinian number.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 249826 + ... + 249886.

It is an arithmetic number, because the mean of its divisors is an integer number (794527).

Almost surely, 215241216 is an apocalyptic number.

15241216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15241216 is the 3904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15241216

15241216 is an abundant number, since it is smaller than the sum of its proper divisors (15745337).

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

15241216 is an frugal number, since it uses more digits than its factorization.

15241216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 63 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The cubic root of 15241216 is about 247.9361611611.

Adding to 15241216 its reverse (61214251), we get a palindrome (76455467).

The spelling of 15241216 in words is "fifteen million, two hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1952 2048 3721 3904 4096 7442 7808 14884 15616 29768 31232 59536 62464 119072 124928 238144 249856 476288 952576 1905152 3810304 7620608 15241216