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2820948 = 223133107
BaseRepresentation
bin1010110000101101010100
312022022121120
422300231110
51210232243
6140243540
732656224
oct12605524
95268546
102820948
111657469
12b405b0
1377a000
14536084
153aac83
hex2b0b54

2820948 has 48 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 859872.

The previous prime is 2820947. The next prime is 2820971. The reversal of 2820948 is 8490282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820941) 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, 26311 + ... + 26417.

It is an arithmetic number, because the mean of its divisors is an integer number (149940).

22820948 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 2820948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560).

2820948 is an abundant number, since it is smaller than the sum of its proper divisors (4376172).

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

2820948 is a wasteful number, since it uses less digits than its factorization.

2820948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2820948 is about 1679.5678015490. The cubic root of 2820948 is about 141.2965941253.

The spelling of 2820948 in words is "two million, eight hundred twenty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 169 214 321 338 428 507 642 676 1014 1284 1391 2028 2197 2782 4173 4394 5564 6591 8346 8788 13182 16692 18083 26364 36166 54249 72332 108498 216996 235079 470158 705237 940316 1410474 2820948