Search a number
-
+
39480168 = 23371318077
BaseRepresentation
bin1001011010011…
…0101101101000
32202021210121110
42112212231220
540101331133
63530110320
7656401350
oct226465550
982253543
1039480168
1120316042
121127b3a0
138244060
145359b60
1536ecc63
hex25a6b68

39480168 has 64 divisors (see below), whose sum is σ = 121484160. Its totient is φ = 10411776.

The previous prime is 39480163. The next prime is 39480173. The reversal of 39480168 is 86108493.

39480168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39480163) and next prime (39480173).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39480163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6855 + ... + 11222.

It is an arithmetic number, because the mean of its divisors is an integer number (1898190).

Almost surely, 239480168 is an apocalyptic number.

It is an amenable number.

39480168 is an abundant number, since it is smaller than the sum of its proper divisors (82003992).

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

39480168 is a wasteful number, since it uses less digits than its factorization.

39480168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18106 (or 18102 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 39480168 is about 6283.3245976951. The cubic root of 39480168 is about 340.5072244732.

The spelling of 39480168 in words is "thirty-nine million, four hundred eighty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 18077 36154 54231 72308 108462 126539 144616 216924 235001 253078 379617 433848 470002 506156 705003 759234 940004 1012312 1410006 1518468 1645007 1880008 2820012 3036936 3290014 4935021 5640024 6580028 9870042 13160056 19740084 39480168