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3980192 = 25294289
BaseRepresentation
bin1111001011101110100000
321111012210112
433023232200
52004331232
6221150452
745555026
oct17135640
97435715
103980192
112279417
1213bb428
13a94858
14758716
155394b2
hex3cbba0

3980192 has 24 divisors (see below), whose sum is σ = 8108100. Its totient is φ = 1921024.

The previous prime is 3980191. The next prime is 3980203. The reversal of 3980192 is 2910893.

It can be written as a sum of positive squares in 2 ways, for example, as 3671056 + 309136 = 1916^2 + 556^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3980191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1217 + ... + 3072.

Almost surely, 23980192 is an apocalyptic number.

3980192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3980192 is an abundant number, since it is smaller than the sum of its proper divisors (4127908).

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

3980192 is a wasteful number, since it uses less digits than its factorization.

3980192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 3980192 is about 1995.0418541976. The cubic root of 3980192 is about 158.4776444834.

It can be divided in two parts, 39801 and 92, that added together give a palindrome (39893).

The spelling of 3980192 in words is "three million, nine hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 4289 8578 17156 34312 68624 124381 137248 248762 497524 995048 1990096 3980192