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5462144 = 27139307
BaseRepresentation
bin10100110101100010000000
3101021111122122
4110311202000
52344242034
6313023412
764266422
oct24654200
911244578
105462144
1130a0876
1219b4b68
13119324c
14a22812
1572d62e
hex535880

5462144 has 32 divisors (see below), whose sum is σ = 10995600. Its totient is φ = 2702592.

The previous prime is 5462141. The next prime is 5462153. The reversal of 5462144 is 4412645.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5462141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17639 + ... + 17945.

Almost surely, 25462144 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 5462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497800).

5462144 is an abundant number, since it is smaller than the sum of its proper divisors (5533456).

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

5462144 is a wasteful number, since it uses less digits than its factorization.

5462144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 5462144 is about 2337.1230177293. The cubic root of 5462144 is about 176.1114995957. Note that the first 3 decimals are identical.

Adding to 5462144 its reverse (4412645), we get a palindrome (9874789).

The spelling of 5462144 in words is "five million, four hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 139 278 307 556 614 1112 1228 2224 2456 4448 4912 8896 9824 17792 19648 39296 42673 85346 170692 341384 682768 1365536 2731072 5462144