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257616054 = 23223611012
BaseRepresentation
bin11110101101011…
…10100010110110
3122221202020210100
433112232202312
51011422203204
641321334530
76245462133
oct1726564266
9587666710
10257616054
11122465833
1272337446
13414ab147
14262dd58a
151793aa39
hexf5ae8b6

257616054 has 72 divisors (see below), whose sum is σ = 597903696. Its totient is φ = 79992000.

The previous prime is 257616049. The next prime is 257616061. The reversal of 257616054 is 450616752.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 2550604 + ... + 2550704.

It is an arithmetic number, because the mean of its divisors is an integer number (8304218).

Almost surely, 2257616054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257616054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298951848).

257616054 is an abundant number, since it is smaller than the sum of its proper divisors (340287642).

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

257616054 is a wasteful number, since it uses less digits than its factorization.

257616054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 257616054 is about 16050.4222374366. The cubic root of 257616054 is about 636.2937263176.

The spelling of 257616054 in words is "two hundred fifty-seven million, six hundred sixteen thousand, fifty-four".

Divisors: 1 2 3 6 9 18 23 46 61 69 101 122 138 183 202 207 303 366 414 549 606 909 1098 1403 1818 2323 2806 4209 4646 6161 6969 8418 10201 12322 12627 13938 18483 20402 20907 25254 30603 36966 41814 55449 61206 91809 110898 141703 183618 234623 283406 425109 469246 622261 703869 850218 1244522 1275327 1407738 1866783 2111607 2550654 3733566 4223214 5600349 11200698 14312003 28624006 42936009 85872018 128808027 257616054