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1398008931 = 311232531511
BaseRepresentation
bin101001101010011…
…1110110001100011
310121102121012201120
41103110332301203
510330342241211
6350420103323
746433610534
oct12324766143
93542535646
101398008931
11658159890
12330234b43
13193832427
14d395468b
1582aeed06
hex5353ec63

1398008931 has 48 divisors (see below), whose sum is σ = 2167264512. Its totient is φ = 794622400.

The previous prime is 1398008917. The next prime is 1398008959.

It is a happy number.

1398008931 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1398008931 - 29 = 1398008419 is a prime.

It is a super-2 number, since 2×13980089312 = 3908857942311525522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1398008971) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 924466 + ... + 925976.

It is an arithmetic number, because the mean of its divisors is an integer number (45151344).

Almost surely, 21398008931 is an apocalyptic number.

1398008931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1398008931 is a deficient number, since it is larger than the sum of its proper divisors (769255581).

1398008931 is a wasteful number, since it uses less digits than its factorization.

1398008931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1398008931 is about 37389.9576223349. The cubic root of 1398008931 is about 1118.1583602642.

The spelling of 1398008931 in words is "one billion, three hundred ninety-eight million, eight thousand, nine hundred thirty-one".

Divisors: 1 3 11 23 33 53 69 159 253 529 583 759 1219 1511 1587 1749 3657 4533 5819 13409 16621 17457 28037 34753 40227 49863 80083 84111 104259 240249 308407 382283 799319 880913 925221 1146849 1841909 2397957 2642739 5525727 8792509 20260999 26377527 42363907 60782997 127091721 466002977 1398008931