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2048172 = 223737659
BaseRepresentation
bin111110100000010101100
310212001120020
413310002230
51011020142
6111522140
723260230
oct7640254
93761506
102048172
111179905
12829350
13569349
143b45c0
152a6cec
hex1f40ac

2048172 has 48 divisors (see below), whose sum is σ = 5617920. Its totient is φ = 568512.

The previous prime is 2048171. The next prime is 2048203. The reversal of 2048172 is 2718402.

It is not an unprimeable number, because it can be changed into a prime (2048171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2779 + ... + 3437.

It is an arithmetic number, because the mean of its divisors is an integer number (117040).

22048172 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 2048172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808960).

2048172 is an abundant number, since it is smaller than the sum of its proper divisors (3569748).

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

2048172 is a wasteful number, since it uses less digits than its factorization.

2048172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2048172 is about 1431.1435986651. The cubic root of 2048172 is about 126.9956391749.

Subtracting from 2048172 its product of nonzero digits (896), we obtain a triangular number (2047276 = T2023).

The spelling of 2048172 in words is "two million, forty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 659 777 1036 1318 1554 1977 2636 3108 3954 4613 7908 9226 13839 18452 24383 27678 48766 55356 73149 97532 146298 170681 292596 341362 512043 682724 1024086 2048172