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2484192 = 253113229
BaseRepresentation
bin1001011110011111100000
311200012200010
421132133200
51113443232
6125124520
730054354
oct11363740
94605603
102484192
111447457
129b9740
1368c949
14489464
153410cc
hex25e7e0

2484192 has 48 divisors (see below), whose sum is σ = 6607440. Its totient is φ = 817152.

The previous prime is 2484191. The next prime is 2484197. The reversal of 2484192 is 2914842.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2484191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10734 + ... + 10962.

It is an arithmetic number, because the mean of its divisors is an integer number (137655).

22484192 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 2484192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303720).

2484192 is an abundant number, since it is smaller than the sum of its proper divisors (4123248).

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

2484192 is a wasteful number, since it uses less digits than its factorization.

2484192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2484192 is about 1576.1319741697. The cubic root of 2484192 is about 135.4342123327.

The spelling of 2484192 in words is "two million, four hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 229 339 452 458 678 687 904 916 1356 1374 1808 1832 2712 2748 3616 3664 5424 5496 7328 10848 10992 21984 25877 51754 77631 103508 155262 207016 310524 414032 621048 828064 1242096 2484192