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39852252 = 223211157641
BaseRepresentation
bin1001100000000…
…1100011011100
32202222201000100
42120001203130
540200233002
63542101100
7662511216
oct230014334
982881010
1039852252
112054a650
121141a790
13834451b
1454155b6
15377311c
hex26018dc

39852252 has 72 divisors (see below), whose sum is σ = 110768112. Its totient is φ = 11980800.

The previous prime is 39852251. The next prime is 39852259. The reversal of 39852252 is 25225893.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39852251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61852 + ... + 62492.

It is an arithmetic number, because the mean of its divisors is an integer number (1538446).

Almost surely, 239852252 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 39852252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55384056).

39852252 is an abundant number, since it is smaller than the sum of its proper divisors (70915860).

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

39852252 is a wasteful number, since it uses less digits than its factorization.

39852252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 814 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 39852252 is about 6312.8640093067. The cubic root of 39852252 is about 341.5735939492.

It can be divided in two parts, 39852 and 252, that added together give a palindrome (40104).

The spelling of 39852252 in words is "thirty-nine million, eight hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 157 198 314 396 471 628 641 942 1282 1413 1727 1884 1923 2564 2826 3454 3846 5181 5652 5769 6908 7051 7692 10362 11538 14102 15543 20724 21153 23076 28204 31086 42306 62172 63459 84612 100637 126918 201274 253836 301911 402548 603822 905733 1107007 1207644 1811466 2214014 3321021 3622932 4428028 6642042 9963063 13284084 19926126 39852252