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245288376 = 233217238713
BaseRepresentation
bin11101001111011…
…00110110111000
3122002112221101200
432213230312320
51000243212001
640201214200
76035626314
oct1647546670
9562487350
10245288376
11116505873
126a191360
133ba82c68
1424810b44
1516803086
hexe9ecdb8

245288376 has 96 divisors (see below), whose sum is σ = 734067360. Its totient is φ = 73598976.

The previous prime is 245288371. The next prime is 245288377. The reversal of 245288376 is 673882542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245288371) 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 23 ways as a sum of consecutive naturals, for example, 23796 + ... + 32508.

It is an arithmetic number, because the mean of its divisors is an integer number (7646535).

Almost surely, 2245288376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245288376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367033680).

245288376 is an abundant number, since it is smaller than the sum of its proper divisors (488778984).

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

245288376 is a wasteful number, since it uses less digits than its factorization.

245288376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8758 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 245288376 is about 15661.6849668227. The cubic root of 245288376 is about 625.9778833793.

The spelling of 245288376 in words is "two hundred forty-five million, two hundred eighty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 306 391 408 414 552 612 782 828 1173 1224 1564 1656 2346 3128 3519 4692 7038 8713 9384 14076 17426 26139 28152 34852 52278 69704 78417 104556 148121 156834 200399 209112 296242 313668 400798 444363 592484 601197 627336 801596 888726 1184968 1202394 1333089 1603192 1777452 1803591 2404788 2666178 3406783 3554904 3607182 4809576 5332356 6813566 7214364 10220349 10664712 13627132 14428728 20440698 27254264 30661047 40881396 61322094 81762792 122644188 245288376