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2025984 = 2931319
BaseRepresentation
bin111101110101000000000
310210221010110
413232220000
51004312414
6111231320
723135442
oct7565000
93727113
102025984
111164174
12818540
1355c20c
143aa492
152a0459
hex1eea00

2025984 has 40 divisors (see below), whose sum is σ = 5401440. Its totient is φ = 674816.

The previous prime is 2025979. The next prime is 2026021. The reversal of 2025984 is 4895202.

It is a super-2 number, since 2×20259842 = 8209222336512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 877 + ... + 2195.

It is an arithmetic number, because the mean of its divisors is an integer number (135036).

22025984 is an apocalyptic number.

2025984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700720).

2025984 is an abundant number, since it is smaller than the sum of its proper divisors (3375456).

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

2025984 is an equidigital number, since it uses as much as digits as its factorization.

2025984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2025984 is about 1423.3706474422. The cubic root of 2025984 is about 126.5353887669.

The spelling of 2025984 in words is "two million, twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1319 1536 2638 3957 5276 7914 10552 15828 21104 31656 42208 63312 84416 126624 168832 253248 337664 506496 675328 1012992 2025984