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3997188 = 223413273
BaseRepresentation
bin1111001111111000000100
321112002010000
433033320010
52010402223
6221401300
745655416
oct17177004
97462100
103997188
112290168
121409230
13a9c500
147609b6
1553e543
hex3cfe04

3997188 has 90 divisors (see below), whose sum is σ = 11470074. Its totient is φ = 1213056.

The previous prime is 3997181. The next prime is 3997211. The reversal of 3997188 is 8817993.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 3992004 = 72^2 + 1998^2 .

It is not an unprimeable number, because it can be changed into a prime (3997181) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 54720 + ... + 54792.

Almost surely, 23997188 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 3997188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735037).

3997188 is an abundant number, since it is smaller than the sum of its proper divisors (7472886).

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

3997188 is a wasteful number, since it uses less digits than its factorization.

3997188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 91 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 3997188 is about 1999.2968764043. The cubic root of 3997188 is about 158.7028983787.

The spelling of 3997188 in words is "three million, nine hundred ninety-seven thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 73 78 81 108 117 146 156 162 169 219 234 292 324 338 351 438 468 507 657 676 702 876 949 1014 1053 1314 1404 1521 1898 1971 2028 2106 2628 2847 3042 3796 3942 4212 4563 5694 5913 6084 7884 8541 9126 11388 11826 12337 13689 17082 18252 23652 24674 25623 27378 34164 37011 49348 51246 54756 74022 76869 102492 111033 148044 153738 222066 307476 333099 444132 666198 999297 1332396 1998594 3997188