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398139742 = 271113712801
BaseRepresentation
bin10111101110110…
…010000101011110
31000202011121001101
4113232302011132
51303410432432
6103301303314
712603063160
oct2756620536
91022147041
10398139742
11194815310
12b1404b3a
136463c960
143ac3c930
1524e474e7
hex17bb215e

398139742 has 64 divisors (see below), whose sum is σ = 813431808. Its totient is φ = 141120000.

The previous prime is 398139653. The next prime is 398139751. The reversal of 398139742 is 247931893.

It is a super-3 number, since 3×3981397423 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 398139692 and 398139701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140742 + ... + 143542.

It is an arithmetic number, because the mean of its divisors is an integer number (12709872).

Almost surely, 2398139742 is an apocalyptic number.

398139742 is an abundant number, since it is smaller than the sum of its proper divisors (415292066).

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

398139742 is a wasteful number, since it uses less digits than its factorization.

398139742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905.

The product of its digits is 326592, while the sum is 46.

The square root of 398139742 is about 19953.4393526530. The cubic root of 398139742 is about 735.6623162928.

The spelling of 398139742 in words is "three hundred ninety-eight million, one hundred thirty-nine thousand, seven hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 71 77 91 142 143 154 182 286 497 781 923 994 1001 1562 1846 2002 2801 5467 5602 6461 10153 10934 12922 19607 20306 30811 36413 39214 61622 71071 72826 142142 198871 215677 254891 397742 400543 431354 509782 801086 1392097 2187581 2585323 2784194 2803801 4375162 5170646 5607602 15313067 18097261 28438553 30626134 36194522 56877106 199069871 398139742