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2828952 = 233371871
BaseRepresentation
bin1010110010101010011000
312022201121000
422302222120
51211011302
6140345000
733021450
oct12625230
95281530
102828952
111662485
12b45160
13780849
14538d60
153ad31c
hex2b2a98

2828952 has 64 divisors (see below), whose sum is σ = 8985600. Its totient is φ = 807840.

The previous prime is 2828951. The next prime is 2828971. The reversal of 2828952 is 2598282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828951) 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, 577 + ... + 2447.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

22828952 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 2828952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492800).

2828952 is an abundant number, since it is smaller than the sum of its proper divisors (6156648).

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

2828952 is a wasteful number, since it uses less digits than its factorization.

2828952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1883 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2828952 is about 1681.9488696152. The cubic root of 2828952 is about 141.4301036171.

The spelling of 2828952 in words is "two million, eight hundred twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1871 3742 5613 7484 11226 13097 14968 16839 22452 26194 33678 39291 44904 50517 52388 67356 78582 101034 104776 117873 134712 157164 202068 235746 314328 353619 404136 471492 707238 942984 1414476 2828952