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52153272 = 23325379173
BaseRepresentation
bin1100011011110…
…0101110111000
310122010122211200
43012330232320
5101322401042
65101454200
71202203233
oct306745670
9118118750
1052153272
1127491586
1215571360
13aa60532
146cd841a
1548a2c4c
hex31bcbb8

52153272 has 96 divisors (see below), whose sum is σ = 146577600. Its totient is φ = 16743168.

The previous prime is 52153249. The next prime is 52153301. The reversal of 52153272 is 27235125.

It is a super-3 number, since 3×521532723 (a number of 24 digits) contains 333 as substring.

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, 301378 + ... + 301550.

It is an arithmetic number, because the mean of its divisors is an integer number (1526850).

Almost surely, 252153272 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 52153272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73288800).

52153272 is an abundant number, since it is smaller than the sum of its proper divisors (94424328).

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

52153272 is a wasteful number, since it uses less digits than its factorization.

52153272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 52153272 is about 7221.7222322657. The cubic root of 52153272 is about 373.6174799660.

Adding to 52153272 its reverse (27235125), we get a palindrome (79388397).

It can be divided in two parts, 52153 and 272, that added together give a palindrome (52425).

The spelling of 52153272 in words is "fifty-two million, one hundred fifty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 79 106 158 159 173 212 237 316 318 346 424 474 477 519 632 636 692 711 948 954 1038 1272 1384 1422 1557 1896 1908 2076 2844 3114 3816 4152 4187 5688 6228 8374 9169 12456 12561 13667 16748 18338 25122 27334 27507 33496 36676 37683 41001 50244 54668 55014 73352 75366 82002 82521 100488 109336 110028 123003 150732 164004 165042 220056 246006 301464 328008 330084 492012 660168 724351 984024 1448702 2173053 2897404 4346106 5794808 6519159 8692212 13038318 17384424 26076636 52153272