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2148828 = 2231173223
BaseRepresentation
bin1000001100100111011100
311001011122020
420030213130
51022230303
6114020140
724156543
oct10144734
94034566
102148828
1112384a0
12877650
135a30c6
143dd15a
152c6a53
hex20c9dc

2148828 has 48 divisors (see below), whose sum is σ = 5569536. Its totient is φ = 639360.

The previous prime is 2148803. The next prime is 2148857. The reversal of 2148828 is 8288412.

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

It is a nialpdrome in base 12.

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, 9525 + ... + 9747.

It is an arithmetic number, because the mean of its divisors is an integer number (116032).

22148828 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 2148828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784768).

2148828 is an abundant number, since it is smaller than the sum of its proper divisors (3420708).

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

2148828 is a wasteful number, since it uses less digits than its factorization.

2148828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 312 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 2148828 is about 1465.8881267000. Note that the first 3 decimals coincide. The cubic root of 2148828 is about 129.0428317598.

The spelling of 2148828 in words is "two million, one hundred forty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 223 292 438 446 669 803 876 892 1338 1606 2409 2453 2676 3212 4818 4906 7359 9636 9812 14718 16279 29436 32558 48837 65116 97674 179069 195348 358138 537207 716276 1074414 2148828