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2482043520 = 2735111731223
BaseRepresentation
bin1001001111110000…
…1111101010000000
320101222101212121210
42103330033222000
520040400343040
61050142450120
7115336010325
oct22374175200
96358355553
102482043520
11106405a040
12593293940
133072b3208
141978d8b4c
15e7d80480
hex93f0fa80

2482043520 has 512 divisors, whose sum is σ = 9475522560. Its totient is φ = 545587200.

The previous prime is 2482043519. The next prime is 2482043533. The reversal of 2482043520 is 253402842.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11130129 + ... + 11130351.

It is an arithmetic number, because the mean of its divisors is an integer number (18506880).

Almost surely, 22482043520 is an apocalyptic number.

2482043520 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 2482043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737761280).

2482043520 is an abundant number, since it is smaller than the sum of its proper divisors (6993479040).

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

2482043520 is a wasteful number, since it uses less digits than its factorization.

2482043520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2482043520 is about 49820.1116016414. Note that the first 3 decimals coincide. The cubic root of 2482043520 is about 1353.9515716282.

The spelling of 2482043520 in words is "two billion, four hundred eighty-two million, forty-three thousand, five hundred twenty".