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257371422 = 23731111369
BaseRepresentation
bin11110101011100…
…10110100011110
3122221021211012220
433111302310132
51011341341142
641312210210
76243423000
oct1725626436
9587254186
10257371422
11122308a60
1272239966
13414239a9
1426278370
15178dd2ec
hexf572d1e

257371422 has 64 divisors (see below), whose sum is σ = 654912000. Its totient is φ = 66843840.

The previous prime is 257371421. The next prime is 257371423. The reversal of 257371422 is 224173752.

It is an interprime number because it is at equal distance from previous prime (257371421) and next prime (257371423).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257371421) 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 31 ways as a sum of consecutive naturals, for example, 16954 + ... + 28322.

It is an arithmetic number, because the mean of its divisors is an integer number (10233000).

Almost surely, 2257371422 is an apocalyptic number.

257371422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 257371422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327456000).

257371422 is an abundant number, since it is smaller than the sum of its proper divisors (397540578).

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

257371422 is a wasteful number, since it uses less digits than its factorization.

257371422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11406 (or 11392 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 257371422 is about 16042.7996933204. The cubic root of 257371422 is about 636.0922545261.

The spelling of 257371422 in words is "two hundred fifty-seven million, three hundred seventy-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 343 462 539 686 1029 1078 1617 2058 3234 3773 7546 11319 11369 22638 22738 34107 68214 79583 125059 159166 238749 250118 375177 477498 557081 750354 875413 1114162 1671243 1750826 2626239 3342486 3899567 5252478 6127891 7799134 11698701 12255782 18383673 23397402 36767346 42895237 85790474 128685711 257371422