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4001796 = 2232891249
BaseRepresentation
bin1111010001000000000100
321112022102200
433101000010
52011024141
6221434500
746005021
oct17210004
97468380
104001796
112293677
12140ba30
13aa1636
14762548
15540ab6
hex3d1004

4001796 has 36 divisors (see below), whose sum is σ = 10237500. Its totient is φ = 1317888.

The previous prime is 4001791. The next prime is 4001807. The reversal of 4001796 is 6971004.

It can be written as a sum of positive squares in 2 ways, for example, as 1179396 + 2822400 = 1086^2 + 1680^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (4001791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2580 + ... + 3828.

It is an arithmetic number, because the mean of its divisors is an integer number (284375).

Almost surely, 24001796 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 4001796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118750).

4001796 is an abundant number, since it is smaller than the sum of its proper divisors (6235704).

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

4001796 is a wasteful number, since it uses less digits than its factorization.

4001796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4001796 is about 2000.4489496111. The cubic root of 4001796 is about 158.7638597443.

The spelling of 4001796 in words is "four million, one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1249 1602 2498 3204 3747 4996 7494 11241 14988 22482 44964 111161 222322 333483 444644 666966 1000449 1333932 2000898 4001796