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2484432 = 243771
BaseRepresentation
bin1001011110100011010000
311200020000000
421132203100
51114000212
6125130000
730055146
oct11364320
94606000
102484432
111447655
129b9900
1368caa2
14489596
153411dc
hex25e8d0

2484432 has 80 divisors (see below), whose sum is σ = 7320960. Its totient is φ = 816480.

The previous prime is 2484379. The next prime is 2484473. The reversal of 2484432 is 2344842.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2484396 and 2484405.

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, 34957 + ... + 35027.

It is an arithmetic number, because the mean of its divisors is an integer number (91512).

22484432 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 2484432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660480).

2484432 is an abundant number, since it is smaller than the sum of its proper divisors (4836528).

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

2484432 is an frugal number, since it uses more digits than its factorization.

2484432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2484432 is about 1576.2081080873. The cubic root of 2484432 is about 135.4385736655.

It can be divided in two parts, 2484 and 432, that added together give a square (2916 = 542).

The spelling of 2484432 in words is "two million, four hundred eighty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 243 284 324 426 432 486 568 639 648 729 852 972 1136 1278 1296 1458 1704 1917 1944 2187 2556 2916 3408 3834 3888 4374 5112 5751 5832 7668 8748 10224 11502 11664 15336 17253 17496 23004 30672 34506 34992 46008 51759 69012 92016 103518 138024 155277 207036 276048 310554 414072 621108 828144 1242216 2484432