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4007412 = 2232111317
BaseRepresentation
bin1111010010010111110100
321112121010200
433102113310
52011214122
6221520500
746030263
oct17222764
97477120
104007412
112297912
121413130
13aa4066
147645da
155425ac
hex3d25f4

4007412 has 18 divisors (see below), whose sum is σ = 10129938. Its totient is φ = 1335792.

The previous prime is 4007411. The next prime is 4007413. The reversal of 4007412 is 2147004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4007411) and next prime (4007413).

It can be written as a sum of positive squares in only one way, i.e., 3825936 + 181476 = 1956^2 + 426^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007411) 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 5 ways as a sum of consecutive naturals, for example, 55623 + ... + 55694.

Almost surely, 24007412 is an apocalyptic number.

It is an amenable number.

4007412 is an abundant number, since it is smaller than the sum of its proper divisors (6122526).

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

4007412 is a wasteful number, since it uses less digits than its factorization.

4007412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111327 (or 111322 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4007412 is about 2001.8521423921. The cubic root of 4007412 is about 158.8380931695.

The spelling of 4007412 in words is "four million, seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 111317 222634 333951 445268 667902 1001853 1335804 2003706 4007412