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3052896 = 253721159
BaseRepresentation
bin1011101001010101100000
312202002210020
423221111200
51240143041
6145233440
734643400
oct13512540
95662706
103052896
1117a5760
121032880
1382b762
14596800
15404866
hex2e9560

3052896 has 144 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 779520.

The previous prime is 3052891. The next prime is 3052897. The reversal of 3052896 is 6982503.

3052896 = T199 + T200 + ... + T296.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3052891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51715 + ... + 51773.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

Almost surely, 23052896 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 3052896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

3052896 is an abundant number, since it is smaller than the sum of its proper divisors (7289184).

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

3052896 is a wasteful number, since it uses less digits than its factorization.

3052896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3052896 is about 1747.2538453241. The cubic root of 3052896 is about 145.0676814435.

The spelling of 3052896 in words is "three million, fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 59 66 77 84 88 96 98 112 118 132 147 154 168 176 177 196 224 231 236 264 294 308 336 352 354 392 413 462 472 528 539 588 616 649 672 708 784 826 924 944 1056 1078 1176 1232 1239 1298 1416 1568 1617 1652 1848 1888 1947 2156 2352 2464 2478 2596 2832 2891 3234 3304 3696 3894 4312 4543 4704 4956 5192 5664 5782 6468 6608 7392 7788 8624 8673 9086 9912 10384 11564 12936 13216 13629 15576 17248 17346 18172 19824 20768 23128 25872 27258 31152 31801 34692 36344 39648 46256 51744 54516 62304 63602 69384 72688 92512 95403 109032 127204 138768 145376 190806 218064 254408 277536 381612 436128 508816 763224 1017632 1526448 3052896