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675948 = 223713619
BaseRepresentation
bin10100101000001101100
31021100020010
42211001230
5133112243
622253220
75513460
oct2450154
91240203
10675948
11421939
12287210
131a8890
141384a0
15d5433
hexa506c

675948 has 48 divisors (see below), whose sum is σ = 1944320. Its totient is φ = 177984.

The previous prime is 675931. The next prime is 675959. The reversal of 675948 is 849576.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 675948.

It is an unprimeable number.

675948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783 + ... + 1401.

2675948 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 675948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972160).

675948 is an abundant number, since it is smaller than the sum of its proper divisors (1268372).

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

675948 is a wasteful number, since it uses less digits than its factorization.

675948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 644 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 675948 is about 822.1605682590. The cubic root of 675948 is about 87.7615791410.

The spelling of 675948 in words is "six hundred seventy-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 619 1092 1238 1857 2476 3714 4333 7428 8047 8666 12999 16094 17332 24141 25998 32188 48282 51996 56329 96564 112658 168987 225316 337974 675948