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52153376 = 2511229647
BaseRepresentation
bin1100011011110…
…0110000100000
310122010122222112
43012330300200
5101322402001
65101454452
71202203442
oct306746040
9118118875
1052153376
1127491670
1215571428
13aa605b2
146cd8492
1548a2cbb
hex31bcc20

52153376 has 48 divisors (see below), whose sum is σ = 112674240. Its totient is φ = 23566080.

The previous prime is 52153373. The next prime is 52153379. The reversal of 52153376 is 67335125.

It is an interprime number because it is at equal distance from previous prime (52153373) and next prime (52153379).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (52153373) 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, 80285 + ... + 80931.

It is an arithmetic number, because the mean of its divisors is an integer number (2347380).

Almost surely, 252153376 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 52153376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56337120).

52153376 is an abundant number, since it is smaller than the sum of its proper divisors (60520864).

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

52153376 is a wasteful number, since it uses less digits than its factorization.

52153376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 889 counting only the distinct ones).

The product of its digits is 18900, while the sum is 32.

The square root of 52153376 is about 7221.7294327605. The cubic root of 52153376 is about 373.6177283121.

The spelling of 52153376 in words is "fifty-two million, one hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 229 352 458 647 916 1294 1832 2519 2588 3664 5038 5176 7117 7328 10076 10352 14234 20152 20704 28468 40304 56936 80608 113872 148163 227744 296326 592652 1185304 1629793 2370608 3259586 4741216 6519172 13038344 26076688 52153376