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248113908 = 223372911317
BaseRepresentation
bin11101100100111…
…10101011110100
3122021212111022000
432302132223310
51002004121113
640341535300
76101635110
oct1662365364
9567774260
10248113908
11118065719
126b114530
133c532083
1424d48740
1516bb0373
hexec9eaf4

248113908 has 96 divisors (see below), whose sum is σ = 760569600. Its totient is φ = 68439168.

The previous prime is 248113907. The next prime is 248113927. The reversal of 248113908 is 809311842.

It is a super-2 number, since 2×2481139082 = 123121022686064928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248113907) 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, 16266 + ... + 27582.

It is an arithmetic number, because the mean of its divisors is an integer number (7922600).

Almost surely, 2248113908 is an apocalyptic number.

248113908 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 248113908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380284800).

248113908 is an abundant number, since it is smaller than the sum of its proper divisors (512455692).

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

248113908 is a wasteful number, since it uses less digits than its factorization.

248113908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11366 (or 11358 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 248113908 is about 15751.6319154556. The cubic root of 248113908 is about 628.3723061818.

The spelling of 248113908 in words is "two hundred forty-eight million, one hundred thirteen thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1218 1566 1827 2436 3132 3654 5481 7308 10962 11317 21924 22634 33951 45268 67902 79219 101853 135804 158438 203706 237657 305559 316876 328193 407412 475314 611118 656386 712971 950628 984579 1222236 1312772 1425942 1969158 2138913 2297351 2851884 2953737 3938316 4277826 4594702 5907474 6892053 8555652 8861211 9189404 11814948 13784106 17722422 20676159 27568212 35444844 41352318 62028477 82704636 124056954 248113908