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39372966 = 234359677
BaseRepresentation
bin1001011000110…
…0100010100110
32202002100120000
42112030202212
540034413331
63523522130
7655443663
oct226144246
982070500
1039372966
1120252546
1211229346
138207319
14532ca6a
1536cb0e6
hex258c8a6

39372966 has 40 divisors (see below), whose sum is σ = 88601040. Its totient is φ = 13068432.

The previous prime is 39372961. The next prime is 39373013. The reversal of 39372966 is 66927393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39372961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57820 + ... + 58496.

It is an arithmetic number, because the mean of its divisors is an integer number (2215026).

Almost surely, 239372966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39372966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44300520).

39372966 is an abundant number, since it is smaller than the sum of its proper divisors (49228074).

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

39372966 is a wasteful number, since it uses less digits than its factorization.

39372966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1041 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 39372966 is about 6274.7881239130. The cubic root of 39372966 is about 340.1987476975.

It can be divided in two parts, 3937 and 2966, that added together give a triangular number (6903 = T117).

The spelling of 39372966 in words is "thirty-nine million, three hundred seventy-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 359 677 718 1077 1354 2031 2154 3231 4062 6093 6462 9693 12186 18279 19386 29079 36558 54837 58158 109674 243043 486086 729129 1458258 2187387 4374774 6562161 13124322 19686483 39372966