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2023488 = 26331171
BaseRepresentation
bin111101110000001000000
310210210201000
413232001000
51004222423
6111212000
723125245
oct7560100
93723630
102023488
111162305
12817000
1355b03c
143a95cc
1529e843
hex1ee040

2023488 has 56 divisors (see below), whose sum is σ = 5953760. Its totient is φ = 673920.

The previous prime is 2023453. The next prime is 2023501. The reversal of 2023488 is 8843202.

It is a super-2 number, since 2×20234882 = 8189007372288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143 + ... + 2313.

22023488 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 2023488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976880).

2023488 is an abundant number, since it is smaller than the sum of its proper divisors (3930272).

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

2023488 is a wasteful number, since it uses less digits than its factorization.

2023488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2023488 is about 1422.4935852228. The cubic root of 2023488 is about 126.4834038021.

The spelling of 2023488 in words is "two million, twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1171 1728 2342 3513 4684 7026 9368 10539 14052 18736 21078 28104 31617 37472 42156 56208 63234 74944 84312 112416 126468 168624 224832 252936 337248 505872 674496 1011744 2023488