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2482368 = 26371847
BaseRepresentation
bin1001011110000011000000
311200010011120
421132003000
51113413433
6125112240
730046140
oct11360300
94603146
102482368
111446049
129b8680
1368bb75
14488920
153407b3
hex25e0c0

2482368 has 56 divisors (see below), whose sum is σ = 7510272. Its totient is φ = 708864.

The previous prime is 2482351. The next prime is 2482379. The reversal of 2482368 is 8632842.

It is a tau number, because it is divible by the number of its divisors (56).

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

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, 421 + ... + 2267.

It is an arithmetic number, because the mean of its divisors is an integer number (134112).

22482368 is an apocalyptic number.

2482368 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 2482368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755136).

2482368 is an abundant number, since it is smaller than the sum of its proper divisors (5027904).

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

2482368 is a wasteful number, since it uses less digits than its factorization.

2482368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1859 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2482368 is about 1575.5532361682. The cubic root of 2482368 is about 135.4010570199.

It can be divided in two parts, 2482 and 368, that added together give a triangular number (2850 = T75).

The spelling of 2482368 in words is "two million, four hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1847 3694 5541 7388 11082 12929 14776 22164 25858 29552 38787 44328 51716 59104 77574 88656 103432 118208 155148 177312 206864 310296 354624 413728 620592 827456 1241184 2482368