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248988330 = 2345973169
BaseRepresentation
bin11101101011101…
…00001010101010
3122100111220210000
432311310022222
51002220111310
640412403430
76112236333
oct1665641252
9570456700
10248988330
11118602688
126b476576
133c77a096
14250d528a
1516cd44c0
hexed742aa

248988330 has 80 divisors (see below), whose sum is σ = 676617480. Its totient is φ = 65691648.

The previous prime is 248988323. The next prime is 248988349. The reversal of 248988330 is 33889842.

It can be written as a sum of positive squares in 4 ways, for example, as 225630441 + 23357889 = 15021^2 + 4833^2 .

It is a hoax number, since the sum of its digits (45) 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 (45).

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, 76986 + ... + 80154.

Almost surely, 2248988330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248988330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338308740).

248988330 is an abundant number, since it is smaller than the sum of its proper divisors (427629150).

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

248988330 is a wasteful number, since it uses less digits than its factorization.

248988330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 248988330 is about 15779.3640556266. The cubic root of 248988330 is about 629.1096265897.

The spelling of 248988330 in words is "two hundred forty-eight million, nine hundred eighty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 97 135 162 194 270 291 405 485 582 810 873 970 1455 1746 2619 2910 3169 4365 5238 6338 7857 8730 9507 13095 15714 15845 19014 26190 28521 31690 39285 47535 57042 78570 85563 95070 142605 171126 256689 285210 307393 427815 513378 614786 855630 922179 1283445 1536965 1844358 2566890 2766537 3073930 4610895 5533074 8299611 9221790 13832685 16599222 24898833 27665370 41498055 49797666 82996110 124494165 248988330