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2047931424 = 253471131331
BaseRepresentation
bin111101000010000…
…1111010000100000
312021201112200210000
41322010033100200
513143232301144
6535114140000
7101515062360
oct17204172040
95251480700
102047931424
11961005210
12491a21600
1326838a056
14155db49a0
15bebce769
hex7a10f420

2047931424 has 480 divisors, whose sum is σ = 7774728192. Its totient is φ = 513216000.

The previous prime is 2047931383. The next prime is 2047931441. The reversal of 2047931424 is 4241397402.

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 79 ways as a sum of consecutive naturals, for example, 6186939 + ... + 6187269.

Almost surely, 22047931424 is an apocalyptic number.

2047931424 is a gapful number since it is divisible by the number (24) 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 2047931424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887364096).

2047931424 is an abundant number, since it is smaller than the sum of its proper divisors (5726796768).

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

2047931424 is a wasteful number, since it uses less digits than its factorization.

2047931424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2047931424 is about 45254.0763246804. The cubic root of 2047931424 is about 1269.9066672478.

The spelling of 2047931424 in words is "two billion, forty-seven million, nine hundred thirty-one thousand, four hundred twenty-four".