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398048742 = 23471323167
BaseRepresentation
bin10111101110011…
…011110111100110
31000201222222020000
4113232123313212
51303400024432
6103255322130
712602233650
oct2756336746
91021888200
10398048742
11194762a03
12b1380346
136460a400
143ac176d0
1524e2a57c
hex17b9bde6

398048742 has 240 divisors, whose sum is σ = 1156396032. Its totient is φ = 100077120.

The previous prime is 398048737. The next prime is 398048759. The reversal of 398048742 is 247840893.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5940993 + ... + 5941059.

Almost surely, 2398048742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398048742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578198016).

398048742 is an abundant number, since it is smaller than the sum of its proper divisors (758347290).

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

398048742 is a wasteful number, since it uses less digits than its factorization.

398048742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 398048742 is about 19951.1589137072. The cubic root of 398048742 is about 735.6062636353.

The spelling of 398048742 in words is "three hundred ninety-eight million, forty-eight thousand, seven hundred forty-two".