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2885904 = 243272409
BaseRepresentation
bin1011000000100100010000
312102121201100
423000210100
51214322104
6141504400
733346500
oct13004420
95377640
102885904
1116a124a
12b72100
137a0748
14551a00
153c0139
hex2c0910

2885904 has 90 divisors (see below), whose sum is σ = 9418110. Its totient is φ = 822528.

The previous prime is 2885893. The next prime is 2885917. The reversal of 2885904 is 4095882.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 63504 = 1680^2 + 252^2 .

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6852 + ... + 7260.

22885904 is an apocalyptic number.

2885904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2885904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709055).

2885904 is an abundant number, since it is smaller than the sum of its proper divisors (6532206).

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

2885904 is a wasteful number, since it uses less digits than its factorization.

2885904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

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

The square root of 2885904 is about 1698.7948669572. The cubic root of 2885904 is about 142.3728875706.

Subtracting from 2885904 its product of nonzero digits (23040), we obtain a square (2862864 = 16922).

The spelling of 2885904 in words is "two million, eight hundred eighty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 409 441 504 588 784 818 882 1008 1176 1227 1636 1764 2352 2454 2863 3272 3528 3681 4908 5726 6544 7056 7362 8589 9816 11452 14724 17178 19632 20041 22904 25767 29448 34356 40082 45808 51534 58896 60123 68712 80164 103068 120246 137424 160328 180369 206136 240492 320656 360738 412272 480984 721476 961968 1442952 2885904