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675314532 = 223229738861
BaseRepresentation
bin101000010000000…
…111101101100100
31202001201112101100
4220100013231210
52340340031112
6151002200100
722510036014
oct5020075544
91661645340
10675314532
11317219892
1216a1b3030
13a9ba83c9
146598dc44
153e4482dc
hex28407b64

675314532 has 72 divisors (see below), whose sum is σ = 1790301240. Its totient is φ = 214341120.

The previous prime is 675314501. The next prime is 675314537. The reversal of 675314532 is 235413576.

675314532 is a `hidden beast` number, since 67 + 53 + 14 + 532 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 332916516 + 342398016 = 18246^2 + 18504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (675314537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71782 + ... + 80642.

It is an arithmetic number, because the mean of its divisors is an integer number (24865295).

Almost surely, 2675314532 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 675314532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895150620).

675314532 is an abundant number, since it is smaller than the sum of its proper divisors (1114986708).

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

675314532 is a wasteful number, since it uses less digits than its factorization.

675314532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8973 (or 8968 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 675314532 is about 25986.8145797056. The cubic root of 675314532 is about 877.3415517354.

The spelling of 675314532 in words is "six hundred seventy-five million, three hundred fourteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 73 87 116 146 174 219 261 292 348 438 522 657 876 1044 1314 2117 2628 4234 6351 8468 8861 12702 17722 19053 25404 26583 35444 38106 53166 76212 79749 106332 159498 256969 318996 513938 646853 770907 1027876 1293706 1541814 1940559 2312721 2587412 3083628 3881118 4625442 5821677 7762236 9250884 11643354 18758737 23286708 37517474 56276211 75034948 112552422 168828633 225104844 337657266 675314532