Search a number
-
+
52367688 = 23332383127
BaseRepresentation
bin1100011111000…
…1000101001000
310122112112222000
43013301011020
5101401231223
65110231000
71204055322
oct307610510
9118475860
1052367688
112761868a
1215655460
13ab06cc9
146d52612
1548e6543
hex31f1148

52367688 has 128 divisors (see below), whose sum is σ = 154828800. Its totient is φ = 16365888.

The previous prime is 52367663. The next prime is 52367699. The reversal of 52367688 is 88676325.

52367688 is a `hidden beast` number, since 523 + 67 + 68 + 8 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 412281 + ... + 412407.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 252367688 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 52367688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

52367688 is an abundant number, since it is smaller than the sum of its proper divisors (102461112).

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

52367688 is a wasteful number, since it uses less digits than its factorization.

52367688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 52367688 is about 7236.5522177346. The cubic root of 52367688 is about 374.1287935657.

The spelling of 52367688 in words is "fifty-two million, three hundred sixty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 83 92 108 127 138 166 184 207 216 249 254 276 332 381 414 498 508 552 621 664 747 762 828 996 1016 1143 1242 1494 1524 1656 1909 1992 2241 2286 2484 2921 2988 3048 3429 3818 4482 4572 4968 5727 5842 5976 6858 7636 8763 8964 9144 10541 11454 11684 13716 15272 17181 17526 17928 21082 22908 23368 26289 27432 31623 34362 35052 42164 45816 51543 52578 63246 68724 70104 78867 84328 94869 103086 105156 126492 137448 157734 189738 206172 210312 242443 252984 284607 315468 379476 412344 484886 569214 630936 727329 758952 969772 1138428 1454658 1939544 2181987 2276856 2909316 4363974 5818632 6545961 8727948 13091922 17455896 26183844 52367688