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3988896 = 253371123
BaseRepresentation
bin1111001101110110100000
321111122201220
433031312200
52010121041
6221255040
745622302
oct17156640
97448656
103988896
112284a0a
121404480
13a987c2
1475b972
1553bd66
hex3cdda0

3988896 has 48 divisors (see below), whose sum is σ = 10763424. Its totient is φ = 1292544.

The previous prime is 3988889. The next prime is 3988903. The reversal of 3988896 is 6988893.

It is an interprime number because it is at equal distance from previous prime (3988889) and next prime (3988903).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×39888962 = 31822582597632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2991 + ... + 4113.

It is an arithmetic number, because the mean of its divisors is an integer number (224238).

Almost surely, 23988896 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 3988896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381712).

3988896 is an abundant number, since it is smaller than the sum of its proper divisors (6774528).

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

3988896 is a wasteful number, since it uses less digits than its factorization.

3988896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1165 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 3988896 is about 1997.2220707773. Note that the first 3 decimals coincide. The cubic root of 3988896 is about 158.5930815562.

It can be divided in two parts, 3988 and 896, that added together give a palindrome (4884).

The spelling of 3988896 in words is "three million, nine hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1123 1184 1776 2246 3369 3552 4492 6738 8984 13476 17968 26952 35936 41551 53904 83102 107808 124653 166204 249306 332408 498612 664816 997224 1329632 1994448 3988896