Search a number
-
+
52807968 = 2532183361
BaseRepresentation
bin1100100101110…
…0100100100000
310200100220220200
43021130210200
5102004323333
65123505200
71210601043
oct311344440
9120326820
1052807968
1127899454
1215828200
13ac2c525
147028c5a
154981c13
hex325c920

52807968 has 36 divisors (see below), whose sum is σ = 150173478. Its totient is φ = 17602560.

The previous prime is 52807957. The next prime is 52807969. The reversal of 52807968 is 86970825.

It can be written as a sum of positive squares in only one way, i.e., 51667344 + 1140624 = 7188^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (52807969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91393 + ... + 91968.

Almost surely, 252807968 is an apocalyptic number.

It is an amenable number.

52807968 is an abundant number, since it is smaller than the sum of its proper divisors (97365510).

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

52807968 is a wasteful number, since it uses less digits than its factorization.

52807968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183377 (or 183366 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 52807968 is about 7266.9091091055. The cubic root of 52807968 is about 375.1743615822.

It can be divided in two parts, 5280796 and 8, that added together give a square (5280804 = 22982).

The spelling of 52807968 in words is "fifty-two million, eight hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 183361 366722 550083 733444 1100166 1466888 1650249 2200332 2933776 3300498 4400664 5867552 6600996 8801328 13201992 17602656 26403984 52807968