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2047284 = 2232293753
BaseRepresentation
bin111110011110100110100
310212000100100
413303310310
51011003114
6111514100
723254521
oct7636464
93760310
102047284
111179178
12828930
13568b15
143b4148
152a6909
hex1f3d34

2047284 has 72 divisors (see below), whose sum is σ = 5601960. Its totient is φ = 628992.

The previous prime is 2047249. The next prime is 2047289. The reversal of 2047284 is 4827402.

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 1102500 = 972^2 + 1050^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047289) 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 23 ways as a sum of consecutive naturals, for example, 38602 + ... + 38654.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

22047284 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 2047284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800980).

2047284 is an abundant number, since it is smaller than the sum of its proper divisors (3554676).

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

2047284 is a wasteful number, since it uses less digits than its factorization.

2047284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2047284 is about 1430.8333236265. The cubic root of 2047284 is about 126.9772832247.

The spelling of 2047284 in words is "two million, forty-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 53 58 74 87 106 111 116 148 159 174 212 222 261 318 333 348 444 477 522 636 666 954 1044 1073 1332 1537 1908 1961 2146 3074 3219 3922 4292 4611 5883 6148 6438 7844 9222 9657 11766 12876 13833 17649 18444 19314 23532 27666 35298 38628 55332 56869 70596 113738 170607 227476 341214 511821 682428 1023642 2047284