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52133312 = 2671171149
BaseRepresentation
bin1100011011011…
…1110111000000
310122002122110102
43012313313000
5101321231222
65101221532
71202061110
oct306676700
9118078412
1052133312
1127478590
12155618a8
13aa5441a
146cd1040
15489bd92
hex31b7dc0

52133312 has 112 divisors (see below), whose sum is σ = 131673600. Its totient is φ = 19891200.

The previous prime is 52133299. The next prime is 52133317. The reversal of 52133312 is 21333125.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52133317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349814 + ... + 349962.

Almost surely, 252133312 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 52133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65836800).

52133312 is an abundant number, since it is smaller than the sum of its proper divisors (79540288).

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

52133312 is a wasteful number, since it uses less digits than its factorization.

52133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its digits is 540, while the sum is 20.

The square root of 52133312 is about 7220.3401581920. The cubic root of 52133312 is about 373.5698104962.

Adding to 52133312 its reverse (21333125), we get a palindrome (73466437).

It can be divided in two parts, 521 and 33312, that added together give a palindrome (33833).

The spelling of 52133312 in words is "fifty-two million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 71 77 88 112 142 149 154 176 224 284 298 308 352 448 497 568 596 616 704 781 994 1043 1136 1192 1232 1562 1639 1988 2086 2272 2384 2464 3124 3278 3976 4172 4544 4768 4928 5467 6248 6556 7952 8344 9536 10579 10934 11473 12496 13112 15904 16688 21158 21868 22946 24992 26224 31808 33376 42316 43736 45892 49984 52448 66752 74053 84632 87472 91784 104896 116369 148106 169264 174944 183568 232738 296212 338528 349888 367136 465476 592424 677056 734272 814583 930952 1184848 1629166 1861904 2369696 3258332 3723808 4739392 6516664 7447616 13033328 26066656 52133312