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52867968 = 27337612
BaseRepresentation
bin1100100110101…
…1001110000000
310200110222012220
43021223032000
5102013233333
65125051040
71211241006
oct311531600
9120428186
1052867968
112792a53a
1215856a80
13ac5092a
147042a76
1549948b3
hex326b380

52867968 has 96 divisors (see below), whose sum is σ = 146629080. Its totient is φ = 16865280.

The previous prime is 52867967. The next prime is 52867973. The reversal of 52867968 is 86976825.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 52867968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52867967) 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 11 ways as a sum of consecutive naturals, for example, 866658 + ... + 866718.

Almost surely, 252867968 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 52867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73314540).

52867968 is an abundant number, since it is smaller than the sum of its proper divisors (93761112).

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

52867968 is an equidigital number, since it uses as much as digits as its factorization.

52867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 103 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 52867968 is about 7271.0362397667. The cubic root of 52867968 is about 375.3163978602.

It can be divided in two parts, 52867 and 968, that added together give a palindrome (53835).

The spelling of 52867968 in words is "fifty-two million, eight hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 61 64 74 96 111 122 128 148 183 192 222 244 296 366 384 444 488 592 732 888 976 1184 1464 1776 1952 2257 2368 2928 3552 3721 3904 4514 4736 5856 6771 7104 7442 7808 9028 11163 11712 13542 14208 14884 18056 22326 23424 27084 29768 36112 44652 54168 59536 72224 89304 108336 119072 137677 144448 178608 216672 238144 275354 288896 357216 413031 433344 476288 550708 714432 826062 866688 1101416 1428864 1652124 2202832 3304248 4405664 6608496 8811328 13216992 17622656 26433984 52867968