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2148944 = 24722741
BaseRepresentation
bin1000001100101001010000
311001011210112
420030221100
51022231234
6114020452
724160100
oct10145120
94034715
102148944
111238596
12877728
135a3185
143dd200
152c6ace
hex20ca50

2148944 has 30 divisors (see below), whose sum is σ = 4845114. Its totient is φ = 920640.

The previous prime is 2148907. The next prime is 2148947. The reversal of 2148944 is 4498412.

It can be written as a sum of positive squares in only one way, i.e., 1658944 + 490000 = 1288^2 + 700^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2148944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148947) 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 5 ways as a sum of consecutive naturals, for example, 587 + ... + 2154.

22148944 is an apocalyptic number.

It is an amenable number.

2148944 is an abundant number, since it is smaller than the sum of its proper divisors (2696170).

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

2148944 is a wasteful number, since it uses less digits than its factorization.

2148944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2750 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 2148944 is about 1465.9276926233. The cubic root of 2148944 is about 129.0451537542.

The spelling of 2148944 in words is "two million, one hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 2741 5482 10964 19187 21928 38374 43856 76748 134309 153496 268618 306992 537236 1074472 2148944