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52135512 = 233112131381
BaseRepresentation
bin1100011011100…
…0011001011000
310122002202110220
43012320121120
5101321314022
65101240040
71202100402
oct306703130
9118082426
1052135512
112747a200
1215563020
13aa55420
146cd1b72
15489c85c
hex31b8658

52135512 has 96 divisors (see below), whose sum is σ = 154397040. Its totient is φ = 14572800.

The previous prime is 52135507. The next prime is 52135529. The reversal of 52135512 is 21553125.

It is a happy number.

It is a super-2 number, since 2×521355122 = 5436223223004288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37062 + ... + 38442.

Almost surely, 252135512 is an apocalyptic number.

52135512 is a gapful number since it is divisible by the number (52) 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 52135512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77198520).

52135512 is an abundant number, since it is smaller than the sum of its proper divisors (102261528).

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

52135512 is a wasteful number, since it uses less digits than its factorization.

52135512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1410 counting only the distinct ones).

The product of its digits is 1500, while the sum is 24.

The square root of 52135512 is about 7220.4925039778. The cubic root of 52135512 is about 373.5750652428.

Adding to 52135512 its reverse (21553125), we get a palindrome (73688637).

The spelling of 52135512 in words is "fifty-two million, one hundred thirty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 121 132 143 156 242 264 286 312 363 429 484 572 726 858 968 1144 1381 1452 1573 1716 2762 2904 3146 3432 4143 4719 5524 6292 8286 9438 11048 12584 15191 16572 17953 18876 30382 33144 35906 37752 45573 53859 60764 71812 91146 107718 121528 143624 167101 182292 197483 215436 334202 364584 394966 430872 501303 592449 668404 789932 1002606 1184898 1336808 1579864 2005212 2172313 2369796 4010424 4344626 4739592 6516939 8689252 13033878 17378504 26067756 52135512