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2002048 = 2715641
BaseRepresentation
bin111101000110010000000
310202201021221
413220302000
51003031143
6110524424
723005606
oct7506200
93681257
102002048
111148194
12806714
13551359
143a1876
152982ed
hex1e8c80

2002048 has 16 divisors (see below), whose sum is σ = 3988710. Its totient is φ = 1000960.

The previous prime is 2002019. The next prime is 2002061. The reversal of 2002048 is 8402002.

It can be written as a sum of positive squares in only one way, i.e., 1065024 + 937024 = 1032^2 + 968^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7693 + ... + 7948.

22002048 is an apocalyptic number.

It is an amenable number.

2002048 is a deficient number, since it is larger than the sum of its proper divisors (1986662).

2002048 is an equidigital number, since it uses as much as digits as its factorization.

2002048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15655 (or 15643 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2002048 is about 1414.9374544481. The cubic root of 2002048 is about 126.0350956239.

It can be divided in two parts, 200 and 2048, that multiplied together give a square (409600 = 6402).

The spelling of 2002048 in words is "two million, two thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 15641 31282 62564 125128 250256 500512 1001024 2002048