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2483616 = 25341631
BaseRepresentation
bin1001011110010110100000
311200011212210
421132112200
51113433431
6125122120
730052602
oct11362640
94604783
102483616
111446a83
129b9340
1368c5c5
14489172
15340d46
hex25e5a0

2483616 has 48 divisors (see below), whose sum is σ = 6689088. Its totient is φ = 806400.

The previous prime is 2483603. The next prime is 2483617. The reversal of 2483616 is 6163842.

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

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

It is not an unprimeable number, because it can be changed into a prime (2483617) 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, 3621 + ... + 4251.

It is an arithmetic number, because the mean of its divisors is an integer number (139356).

22483616 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 2483616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344544).

2483616 is an abundant number, since it is smaller than the sum of its proper divisors (4205472).

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

2483616 is a wasteful number, since it uses less digits than its factorization.

2483616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 677 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2483616 is about 1575.9492377612. The cubic root of 2483616 is about 135.4237439878.

The spelling of 2483616 in words is "two million, four hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 631 656 984 1262 1312 1893 1968 2524 3786 3936 5048 7572 10096 15144 20192 25871 30288 51742 60576 77613 103484 155226 206968 310452 413936 620904 827872 1241808 2483616