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3988152 = 2332741193
BaseRepresentation
bin1111001101101010111000
321111121201100
433031222320
52010110102
6221251400
745620160
oct17155270
97447640
103988152
1122843a3
121403b60
13a9836c
1475b5a0
1553ba1c
hex3cdab8

3988152 has 96 divisors (see below), whose sum is σ = 12710880. Its totient is φ = 1105920.

The previous prime is 3988151. The next prime is 3988213. The reversal of 3988152 is 2518893.

3988152 is nontrivially palindromic in base 5.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3988151) 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 23 ways as a sum of consecutive naturals, for example, 20568 + ... + 20760.

It is an arithmetic number, because the mean of its divisors is an integer number (132405).

Almost surely, 23988152 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 3988152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355440).

3988152 is an abundant number, since it is smaller than the sum of its proper divisors (8722728).

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

3988152 is a wasteful number, since it uses less digits than its factorization.

3988152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 3988152 is about 1997.0358033846. The cubic root of 3988152 is about 158.5832208003.

The spelling of 3988152 in words is "three million, nine hundred eighty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 193 246 252 287 328 369 386 492 504 574 579 738 772 861 984 1148 1158 1351 1476 1544 1722 1737 2296 2316 2583 2702 2952 3444 3474 4053 4632 5166 5404 6888 6948 7913 8106 10332 10808 12159 13896 15826 16212 20664 23739 24318 31652 32424 47478 48636 55391 63304 71217 94956 97272 110782 142434 166173 189912 221564 284868 332346 443128 498519 569736 664692 997038 1329384 1994076 3988152