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1561248 = 253313139
BaseRepresentation
bin101111101001010100000
32221022122000
411331022200
5344424443
653244000
716161513
oct5751240
92838560
101561248
11976a97
12633600
13428820
142c8d7a
1520c8d3
hex17d2a0

1561248 has 96 divisors (see below), whose sum is σ = 4939200. Its totient is φ = 476928.

The previous prime is 1561247. The next prime is 1561267. The reversal of 1561248 is 8421651.

1561248 is a `hidden beast` number, since 1 + 5 + 612 + 48 = 666.

1561248 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1561243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11163 + ... + 11301.

It is an arithmetic number, because the mean of its divisors is an integer number (51450).

21561248 is an apocalyptic number.

1561248 is a gapful number since it is divisible by the number (18) 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 1561248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469600).

1561248 is an abundant number, since it is smaller than the sum of its proper divisors (3377952).

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

1561248 is a wasteful number, since it uses less digits than its factorization.

1561248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1561248 is about 1249.4990996395. The cubic root of 1561248 is about 116.0087191227.

Adding to 1561248 its reverse (8421651), we get a palindrome (9982899).

The spelling of 1561248 in words is "one million, five hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 139 144 156 208 216 234 278 288 312 351 416 417 432 468 556 624 702 834 864 936 1112 1248 1251 1404 1668 1807 1872 2224 2502 2808 3336 3614 3744 3753 4448 5004 5421 5616 6672 7228 7506 10008 10842 11232 13344 14456 15012 16263 20016 21684 28912 30024 32526 40032 43368 48789 57824 60048 65052 86736 97578 120096 130104 173472 195156 260208 390312 520416 780624 1561248