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2042062848 = 21132731719
BaseRepresentation
bin111100110110111…
…0110100000000000
312021022111112121100
41321231312200000
513140232002343
6534344254400
7101414151000
oct17155664000
95238445540
102042062848
11958767051
1248ba71400
132670b3b17
141552c8000
15be4209d3
hex79b76800

2042062848 has 576 divisors, whose sum is σ = 7665840000. Its totient is φ = 520224768.

The previous prime is 2042062837. The next prime is 2042062871. The reversal of 2042062848 is 8482602402.

It is a happy number.

2042062848 is a `hidden beast` number, since 2 + 0 + 4 + 20 + 628 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×20420628482 = 8340041350363742208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107476983 + ... + 107477001.

It is an arithmetic number, because the mean of its divisors is an integer number (13308750).

Almost surely, 22042062848 is an apocalyptic number.

2042062848 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 2042062848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832920000).

2042062848 is an abundant number, since it is smaller than the sum of its proper divisors (5623777152).

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

2042062848 is a wasteful number, since it uses less digits than its factorization.

2042062848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2042062848 is about 45189.1895036855. The cubic root of 2042062848 is about 1268.6924869688.

The spelling of 2042062848 in words is "two billion, forty-two million, sixty-two thousand, eight hundred forty-eight".