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248749542 = 23417412203
BaseRepresentation
bin11101101001110…
…01110111100110
3122100001210020000
432310321313212
51002134441132
640403322130
76110223216
oct1664716746
9570053200
10248749542
1111845a238
126b380346
133c6c54a2
1425072246
1516c8887c
hexed39de6

248749542 has 80 divisors (see below), whose sum is σ = 604839312. Its totient is φ = 76101120.

The previous prime is 248749537. The next prime is 248749603. The reversal of 248749542 is 245947842.

248749542 is a `hidden beast` number, since 24 + 87 + 4 + 9 + 542 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111813 + ... + 114015.

Almost surely, 2248749542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248749542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302419656).

248749542 is an abundant number, since it is smaller than the sum of its proper divisors (356089770).

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

248749542 is a wasteful number, since it uses less digits than its factorization.

248749542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2266 counting only the distinct ones).

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

The square root of 248749542 is about 15771.7957760047. The cubic root of 248749542 is about 628.9084499880.

The spelling of 248749542 in words is "two hundred forty-eight million, seven hundred forty-nine thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 81 82 102 123 153 162 246 306 369 459 697 738 918 1107 1377 1394 2091 2203 2214 2754 3321 4182 4406 6273 6609 6642 12546 13218 18819 19827 37451 37638 39654 56457 59481 74902 90323 112353 112914 118962 178443 180646 224706 270969 337059 356886 541938 674118 812907 1011177 1535491 1625814 2022354 2438721 3033531 3070982 4606473 4877442 6067062 7316163 9212946 13819419 14632326 27638838 41458257 82916514 124374771 248749542