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2923872 = 253719229
BaseRepresentation
bin1011001001110101100000
312111112210120
423021311200
51222030442
6142400240
733565260
oct13116540
95445716
102923872
111717826
12b90080
137b4b03
145617a0
153cb4ec
hex2c9d60

2923872 has 96 divisors (see below), whose sum is σ = 9273600. Its totient is φ = 787968.

The previous prime is 2923859. The next prime is 2923897. The reversal of 2923872 is 2783292.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12654 + ... + 12882.

It is an arithmetic number, because the mean of its divisors is an integer number (96600).

22923872 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 2923872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636800).

2923872 is an abundant number, since it is smaller than the sum of its proper divisors (6349728).

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

2923872 is a wasteful number, since it uses less digits than its factorization.

2923872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 2923872 is about 1709.9333320337. The cubic root of 2923872 is about 142.9945390517.

The spelling of 2923872 in words is "two million, nine hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 229 266 304 336 399 456 458 532 608 672 687 798 912 916 1064 1374 1596 1603 1824 1832 2128 2748 3192 3206 3664 4256 4351 4809 5496 6384 6412 7328 8702 9618 10992 12768 12824 13053 17404 19236 21984 25648 26106 30457 34808 38472 51296 52212 60914 69616 76944 91371 104424 121828 139232 153888 182742 208848 243656 365484 417696 487312 730968 974624 1461936 2923872