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4000644 = 2233172179
BaseRepresentation
bin1111010000101110000100
321112020212000
433100232010
52011010034
6221425300
746001454
oct17205604
97466760
104000644
11229281a
12140b230
13aa0c5b
14761d64
15540599
hex3d0b84

4000644 has 48 divisors (see below), whose sum is σ = 10987200. Its totient is φ = 1254528.

The previous prime is 4000631. The next prime is 4000649. The reversal of 4000644 is 4460004.

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 (4000649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747 + ... + 2925.

It is an arithmetic number, because the mean of its divisors is an integer number (228900).

Almost surely, 24000644 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 4000644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493600).

4000644 is an abundant number, since it is smaller than the sum of its proper divisors (6986556).

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

4000644 is a wasteful number, since it uses less digits than its factorization.

4000644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4000644 is about 2000.1609935203. The cubic root of 4000644 is about 158.7486237920.

Adding to 4000644 its reverse (4460004), we get a palindrome (8460648).

The spelling of 4000644 in words is "four million, six hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 2179 4358 6537 8716 13074 19611 26148 37043 39222 58833 74086 78444 111129 117666 148172 222258 235332 333387 444516 666774 1000161 1333548 2000322 4000644