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39972260 = 2252418293
BaseRepresentation
bin1001100001111…
…0110110100100
32210012210122002
42120132312210
540213103020
63544424432
7663521126
oct230366644
983183562
1039972260
1120621829
1211478118
138387033
145447216
153798975
hex261eda4

39972260 has 24 divisors (see below), whose sum is σ = 84300216. Its totient is φ = 15920640.

The previous prime is 39972259. The next prime is 39972269. The reversal of 39972260 is 6227993.

39972260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3587236 + 36385024 = 1894^2 + 6032^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (39972269) 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 7 ways as a sum of consecutive naturals, for example, 674 + ... + 8966.

It is an arithmetic number, because the mean of its divisors is an integer number (3512509).

Almost surely, 239972260 is an apocalyptic number.

It is an amenable number.

39972260 is an abundant number, since it is smaller than the sum of its proper divisors (44327956).

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

39972260 is a wasteful number, since it uses less digits than its factorization.

39972260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8543 (or 8541 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 39972260 is about 6322.3619004293. The cubic root of 39972260 is about 341.9161131648.

The spelling of 39972260 in words is "thirty-nine million, nine hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 241 482 964 1205 2410 4820 8293 16586 33172 41465 82930 165860 1998613 3997226 7994452 9993065 19986130 39972260