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2048838 = 231137839
BaseRepresentation
bin111110100001101000110
310212002110220
413310031012
51011030323
6111525210
723262201
oct7641506
93762426
102048838
11117a360
12829806
1356973c
143b4938
152a70e3
hex1f4346

2048838 has 32 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 603360.

The previous prime is 2048833. The next prime is 2048843. The reversal of 2048838 is 8388402.

It is an interprime number because it is at equal distance from previous prime (2048833) and next prime (2048843).

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

It is a junction number, because it is equal to n+sod(n) for n = 2048799 and 2048808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2023 + ... + 2861.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

22048838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).

2048838 is an abundant number, since it is smaller than the sum of its proper divisors (2547642).

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

2048838 is a wasteful number, since it uses less digits than its factorization.

2048838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892.

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2048838 is about 1431.3762608064. The cubic root of 2048838 is about 127.0094026560.

The spelling of 2048838 in words is "two million, forty-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 839 1221 1678 2442 2517 5034 9229 18458 27687 31043 55374 62086 93129 186258 341473 682946 1024419 2048838