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248389288 = 23737313383
BaseRepresentation
bin11101100111000…
…01111010101000
3122022101111001021
432303201322220
51002041424123
640351502224
76104163010
oct1663417250
9568344037
10248389288
11118233604
126b227974
133c5ca514
1424dbac40
1516c16c5d
hexece1ea8

248389288 has 64 divisors (see below), whose sum is σ = 549826560. Its totient is φ = 102974976.

The previous prime is 248389277. The next prime is 248389291. The reversal of 248389288 is 882983842.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648345 + ... + 648727.

It is an arithmetic number, because the mean of its divisors is an integer number (8591040).

Almost surely, 2248389288 is an apocalyptic number.

248389288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248389288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274913280).

248389288 is an abundant number, since it is smaller than the sum of its proper divisors (301437272).

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

248389288 is a wasteful number, since it uses less digits than its factorization.

248389288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 742 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 52.

The square root of 248389288 is about 15760.3708078205. The cubic root of 248389288 is about 628.6046956616.

The spelling of 248389288 in words is "two hundred forty-eight million, three hundred eighty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 313 383 518 626 766 1036 1252 1532 2072 2191 2504 2681 3064 4382 5362 8764 10724 11581 14171 17528 21448 23162 28342 46324 56684 81067 92648 99197 113368 119879 162134 198394 239758 324268 396788 479516 648536 793576 839153 959032 1678306 3356612 4435523 6713224 8871046 17742092 31048661 35484184 62097322 124194644 248389288