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2482074900 = 223552234441
BaseRepresentation
bin1001001111110001…
…0111010100010100
320101222110110200000
42103330113110110
520040402344100
61050143251300
7115336200654
oct22374272424
96358413600
102482074900
111064080678
125932a9b30
133072c4596
14197906364
15e7d89900
hex93f17514

2482074900 has 216 divisors, whose sum is σ = 8420752704. Its totient is φ = 632966400.

The previous prime is 2482074893. The next prime is 2482074943. The reversal of 2482074900 is 94702842.

2482074900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 556680 + ... + 561120.

Almost surely, 22482074900 is an apocalyptic number.

2482074900 is a gapful number since it is divisible by the number (20) 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 2482074900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210376352).

2482074900 is an abundant number, since it is smaller than the sum of its proper divisors (5938677804).

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

2482074900 is a wasteful number, since it uses less digits than its factorization.

2482074900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2482074900 is about 49820.4265337020. The cubic root of 2482074900 is about 1353.9572775208.

The spelling of 2482074900 in words is "two billion, four hundred eighty-two million, seventy-four thousand, nine hundred".