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2483003952 = 243211131741173
BaseRepresentation
bin1001001111111111…
…1010001000110000
320102001012200002100
42103333322020300
520041122111302
61050215220400
7115350120402
oct22377721060
96361180070
102483003952
111064655690
12593677700
1330755b410
14197aa8b72
15e7ebed1c
hex93ffa230

2483003952 has 480 divisors, whose sum is σ = 8906054976. Its totient is φ = 634060800.

The previous prime is 2483003951. The next prime is 2483003959. The reversal of 2483003952 is 2593003842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2483003951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14352538 + ... + 14352710.

Almost surely, 22483003952 is an apocalyptic number.

2483003952 is a gapful number since it is divisible by the number (22) 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 2483003952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453027488).

2483003952 is an abundant number, since it is smaller than the sum of its proper divisors (6423051024).

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

2483003952 is a wasteful number, since it uses less digits than its factorization.

2483003952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2483003952 is about 49829.7496682454. The cubic root of 2483003952 is about 1354.1261872508.

It can be divided in two parts, 248300 and 3952, that added together give a palindrome (252252).

The spelling of 2483003952 in words is "two billion, four hundred eighty-three million, three thousand, nine hundred fifty-two".