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2188992 = 26313877
BaseRepresentation
bin1000010110011011000000
311010012201210
420112123000
51030021432
6114530120
724414621
oct10263300
94105653
102188992
111265693
12896940
135b8480
1440da48
152d38cc
hex2166c0

2188992 has 56 divisors (see below), whose sum is σ = 6244336. Its totient is φ = 672768.

The previous prime is 2188987. The next prime is 2188993. The reversal of 2188992 is 2998812.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2188992.

It is not an unprimeable number, because it can be changed into a prime (2188993) 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, 2058 + ... + 2934.

It is an arithmetic number, because the mean of its divisors is an integer number (111506).

22188992 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 2188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122168).

2188992 is an abundant number, since it is smaller than the sum of its proper divisors (4055344).

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

2188992 is a wasteful number, since it uses less digits than its factorization.

2188992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 895 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 2188992 is about 1479.5242478581. The cubic root of 2188992 is about 129.8418589864.

The spelling of 2188992 in words is "two million, one hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 877 1248 1754 2496 2631 3508 5262 7016 10524 11401 14032 21048 22802 28064 34203 42096 45604 56128 68406 84192 91208 136812 168384 182416 273624 364832 547248 729664 1094496 2188992