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53115424 = 2537113397
BaseRepresentation
bin1100101010011…
…1101000100000
310200221112122221
43022213220200
5102044143144
65134240424
71213321315
oct312475040
9120845587
1053115424
1127a8944a
1215956114
13b00945b
1470a8d0c
1549e2d84
hex32a7a20

53115424 has 48 divisors (see below), whose sum is σ = 108620568. Its totient is φ = 25546752.

The previous prime is 53115409. The next prime is 53115427. The reversal of 53115424 is 42451135.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44890000 + 8225424 = 6700^2 + 2868^2 .

It is not an unprimeable number, because it can be changed into a prime (53115427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133594 + ... + 133990.

Almost surely, 253115424 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 53115424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54310284).

53115424 is an abundant number, since it is smaller than the sum of its proper divisors (55505144).

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

53115424 is a wasteful number, since it uses less digits than its factorization.

53115424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 53115424 is about 7288.0329307708. The cubic root of 53115424 is about 375.9010604321.

Adding to 53115424 its reverse (42451135), we get a palindrome (95566559).

The spelling of 53115424 in words is "fifty-three million, one hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 74 113 148 226 296 397 452 592 794 904 1184 1588 1808 3176 3616 4181 6352 8362 12704 14689 16724 29378 33448 44861 58756 66896 89722 117512 133792 179444 235024 358888 470048 717776 1435552 1659857 3319714 6639428 13278856 26557712 53115424