Search a number
-
+
879488652 = 2237212232
BaseRepresentation
bin110100011010111…
…110111010001100
32021021220122121210
4310122332322030
53300122114102
6223134254420
730536346600
oct6432767214
92237818553
10879488652
114114a2929
12206657410
131102945b3
1484b3b500
155232936c
hex346bee8c

879488652 has 54 divisors (see below), whose sum is σ = 2389136988. Its totient is φ = 251077008.

The previous prime is 879488647. The next prime is 879488657. The reversal of 879488652 is 256884978.

It is an interprime number because it is at equal distance from previous prime (879488647) and next prime (879488657).

It is a junction number, because it is equal to n+sod(n) for n = 879488592 and 879488601.

It is not an unprimeable number, because it can be changed into a prime (879488657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 718513 + ... + 719735.

Almost surely, 2879488652 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 879488652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194568494).

879488652 is an abundant number, since it is smaller than the sum of its proper divisors (1509648336).

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

879488652 is a wasteful number, since it uses less digits than its factorization.

879488652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 1235 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The square root of 879488652 is about 29656.1739271943. The cubic root of 879488652 is about 958.0983231037.

The spelling of 879488652 in words is "eight hundred seventy-nine million, four hundred eighty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1223 2446 3669 4892 7338 8561 14676 17122 25683 34244 51366 59927 102732 119854 179781 239708 359562 719124 1495729 2991458 4487187 5982916 8974374 10470103 17948748 20940206 31410309 41880412 62820618 73290721 125641236 146581442 219872163 293162884 439744326 879488652