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2484608 = 2774759
BaseRepresentation
bin1001011110100110000000
311200020020112
421132212000
51114001413
6125130452
730055520
oct11364600
94606215
102484608
1114477a5
129b9a28
1368cba9
14489680
153412a8
hex25e980

2484608 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 1024512.

The previous prime is 2484593. The next prime is 2484617. The reversal of 2484608 is 8064842.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 213 + 45 + 85 + 48 + 67 + 0 + 87 .

It is a congruent number.

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, 42083 + ... + 42141.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

22484608 is an apocalyptic number.

2484608 is a gapful number since it is divisible by the number (28) 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 2484608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2484608 is an abundant number, since it is smaller than the sum of its proper divisors (3390592).

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

2484608 is an equidigital number, since it uses as much as digits as its factorization.

2484608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 2484608 is about 1576.2639372897. The cubic root of 2484608 is about 135.4417717978.

The spelling of 2484608 in words is "two million, four hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 59 64 94 112 118 128 188 224 236 329 376 413 448 472 658 752 826 896 944 1316 1504 1652 1888 2632 2773 3008 3304 3776 5264 5546 6016 6608 7552 10528 11092 13216 19411 21056 22184 26432 38822 42112 44368 52864 77644 88736 155288 177472 310576 354944 621152 1242304 2484608