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5240144 = 247135961
BaseRepresentation
bin10011111111010101010000
3100212020010102
4103333111100
52320141034
6304151532
762353250
oct23772520
910766112
105240144
112a59aa8
1219085a8
1311161a0
149a5960
156d797e
hex4ff550

5240144 has 80 divisors (see below), whose sum is σ = 12915840. Its totient is φ = 2004480.

The previous prime is 5240141. The next prime is 5240177. The reversal of 5240144 is 4410425.

5240144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5240141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85874 + ... + 85934.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 25240144 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 5240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457920).

5240144 is an abundant number, since it is smaller than the sum of its proper divisors (7675696).

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

5240144 is a wasteful number, since it uses less digits than its factorization.

5240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 5240144 is about 2289.1360815819. The cubic root of 5240144 is about 173.6925031016.

Adding to 5240144 its reverse (4410425), we get a palindrome (9650569).

The spelling of 5240144 in words is "five million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 59 61 91 104 112 118 122 182 208 236 244 364 413 427 472 488 728 767 793 826 854 944 976 1456 1534 1586 1652 1708 3068 3172 3304 3416 3599 5369 5551 6136 6344 6608 6832 7198 10738 11102 12272 12688 14396 21476 22204 25193 28792 42952 44408 46787 50386 57584 85904 88816 93574 100772 187148 201544 327509 374296 403088 655018 748592 1310036 2620072 5240144