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2885472 = 253243233
BaseRepresentation
bin1011000000011101100000
312102121010100
423000131200
51214313342
6141502400
733345312
oct13003540
95377110
102885472
1116a0997
12b71a00
137a04a5
145517b2
153bee4c
hex2c0760

2885472 has 72 divisors (see below), whose sum is σ = 8432424. Its totient is φ = 935424.

The previous prime is 2885453. The next prime is 2885497. The reversal of 2885472 is 2745882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12268 + ... + 12500.

It is an arithmetic number, because the mean of its divisors is an integer number (117117).

22885472 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 2885472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216212).

2885472 is an abundant number, since it is smaller than the sum of its proper divisors (5546952).

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

2885472 is a wasteful number, since it uses less digits than its factorization.

2885472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2885472 is about 1698.6677132388. The cubic root of 2885472 is about 142.3657831351.

The spelling of 2885472 in words is "two million, eight hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 233 258 288 344 387 466 516 688 699 774 932 1032 1376 1398 1548 1864 2064 2097 2796 3096 3728 4128 4194 5592 6192 7456 8388 10019 11184 12384 16776 20038 22368 30057 33552 40076 60114 67104 80152 90171 120228 160304 180342 240456 320608 360684 480912 721368 961824 1442736 2885472