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248099742 = 2321110331213
BaseRepresentation
bin11101100100110…
…11001110011110
3122021211202212100
432302123032132
51002003142432
640341345530
76101545602
oct1662331636
9567752770
10248099742
11118056010
126b1082a6
133c5287a7
1424d43502
1516bab07c
hexec9b39e

248099742 has 48 divisors (see below), whose sum is σ = 587469168. Its totient is φ = 75047040.

The previous prime is 248099711. The next prime is 248099743. The reversal of 248099742 is 247990842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248099743) 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, 203928 + ... + 205140.

It is an arithmetic number, because the mean of its divisors is an integer number (12238941).

Almost surely, 2248099742 is an apocalyptic number.

248099742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

248099742 is an abundant number, since it is smaller than the sum of its proper divisors (339369426).

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

248099742 is a wasteful number, since it uses less digits than its factorization.

248099742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 248099742 is about 15751.1822413430. The cubic root of 248099742 is about 628.3603470356.

Subtracting from 248099742 its reverse (247990842), we obtain a square (108900 = 3302).

The spelling of 248099742 in words is "two hundred forty-eight million, ninety-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1033 1213 2066 2426 3099 3639 6198 7278 9297 10917 11363 13343 18594 21834 22726 26686 34089 40029 68178 80058 102267 120087 204534 240174 1253029 2506058 3759087 7518174 11277261 13783319 22554522 27566638 41349957 82699914 124049871 248099742