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2158944 = 25343523
BaseRepresentation
bin1000001111000101100000
311001200111220
420033011200
51023041234
6114135040
724231204
oct10170540
94050456
102158944
111245057
12881480
135a78a8
14402b04
152c9a49
hex20f160

2158944 has 48 divisors (see below), whose sum is σ = 5810112. Its totient is φ = 701568.

The previous prime is 2158931. The next prime is 2158979. The reversal of 2158944 is 4498512.

2158944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×21589442 = 9322078390272, which contains 22 as substring.

It is a congruent number.

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, 3867 + ... + 4389.

It is an arithmetic number, because the mean of its divisors is an integer number (121044).

22158944 is an apocalyptic number.

2158944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2158944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905056).

2158944 is an abundant number, since it is smaller than the sum of its proper divisors (3651168).

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

2158944 is a wasteful number, since it uses less digits than its factorization.

2158944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 571 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 2158944 is about 1469.3345432542. The cubic root of 2158944 is about 129.2450123844.

The spelling of 2158944 in words is "two million, one hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 523 688 1032 1046 1376 1569 2064 2092 3138 4128 4184 6276 8368 12552 16736 22489 25104 44978 50208 67467 89956 134934 179912 269868 359824 539736 719648 1079472 2158944