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2028048 = 2431123167
BaseRepresentation
bin111101111001000010000
310211000221220
413233020100
51004344143
6111245040
723144451
oct7571020
93730856
102028048
111165780
12819780
13560139
143ab128
152a0d83
hex1ef210

2028048 has 80 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 584320.

The previous prime is 2028017. The next prime is 2028053. The reversal of 2028048 is 8408202.

It is a super-2 number, since 2×20280482 = 8225957380608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12061 + ... + 12227.

22028048 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 2028048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

2028048 is an abundant number, since it is smaller than the sum of its proper divisors (3971568).

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

2028048 is a wasteful number, since it uses less digits than its factorization.

2028048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2028048 is about 1424.0955024155. The cubic root of 2028048 is about 126.5783440917.

The spelling of 2028048 in words is "two million, twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 167 176 184 253 264 276 334 368 501 506 528 552 668 759 1002 1012 1104 1336 1518 1837 2004 2024 2672 3036 3674 3841 4008 4048 5511 6072 7348 7682 8016 11022 11523 12144 14696 15364 22044 23046 29392 30728 42251 44088 46092 61456 84502 88176 92184 126753 169004 184368 253506 338008 507012 676016 1014024 2028048