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2191488 = 27313439
BaseRepresentation
bin1000010111000010000000
311010100011020
420113002000
51030111423
6114545440
724425115
oct10270200
94110136
102191488
111267552
12898280
135b9650
1441090c
152d44e3
hex217080

2191488 has 64 divisors (see below), whose sum is σ = 6283200. Its totient is φ = 672768.

The previous prime is 2191477. The next prime is 2191489. The reversal of 2191488 is 8841912.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2191489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4773 + ... + 5211.

It is an arithmetic number, because the mean of its divisors is an integer number (98175).

22191488 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 2191488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141600).

2191488 is an abundant number, since it is smaller than the sum of its proper divisors (4091712).

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

2191488 is a wasteful number, since it uses less digits than its factorization.

2191488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 2191488 is about 1480.3675219350. The cubic root of 2191488 is about 129.8911910044.

The spelling of 2191488 in words is "two million, one hundred ninety-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 439 624 832 878 1248 1317 1664 1756 2496 2634 3512 4992 5268 5707 7024 10536 11414 14048 17121 21072 22828 28096 34242 42144 45656 56192 68484 84288 91312 136968 168576 182624 273936 365248 547872 730496 1095744 2191488