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398279385 = 32572354973
BaseRepresentation
bin10111101111010…
…100001011011001
31000202102200121100
4113233110023121
51303424420020
6103304302013
712604214250
oct2757241331
91022380540
10398279385
11194900219
12b1471909
136468b39a
143ac77797
1524e73a90
hex17bd42d9

398279385 has 48 divisors (see below), whose sum is σ = 823290624. Its totient is φ = 174151296.

The previous prime is 398279377. The next prime is 398279407. The reversal of 398279385 is 583972893.

It is a happy number.

It is not a de Polignac number, because 398279385 - 23 = 398279377 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 20242 + ... + 34731.

It is an arithmetic number, because the mean of its divisors is an integer number (17151888).

Almost surely, 2398279385 is an apocalyptic number.

398279385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

398279385 is an abundant number, since it is smaller than the sum of its proper divisors (425011239).

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

398279385 is a wasteful number, since it uses less digits than its factorization.

398279385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55014 (or 55011 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 398279385 is about 19956.9382671792. The cubic root of 398279385 is about 735.7483146445.

The spelling of 398279385 in words is "three hundred ninety-eight million, two hundred seventy-nine thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 7245 54973 164919 274865 384811 494757 824595 1154433 1264379 1924055 2473785 3463299 3793137 5772165 6321895 8850653 11379411 17316495 18965685 26551959 44253265 56897055 79655877 132759795 398279385