Search a number
-
+
48954114 = 23211433571
BaseRepresentation
bin1011101010111…
…1101100000010
310102010010102100
42322233230002
5100013012424
64505131230
71133050236
oct272575402
9112103370
1048954114
11256a6a50
1214489b16
13a1b0341
1467045c6
15446edc9
hex2eafb02

48954114 has 48 divisors (see below), whose sum is σ = 116180064. Its totient is φ = 14774400.

The previous prime is 48954109. The next prime is 48954121. The reversal of 48954114 is 41145984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85449 + ... + 86019.

It is an arithmetic number, because the mean of its divisors is an integer number (2420418).

Almost surely, 248954114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48954114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58090032).

48954114 is an abundant number, since it is smaller than the sum of its proper divisors (67225950).

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

48954114 is a wasteful number, since it uses less digits than its factorization.

48954114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1020 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 48954114 is about 6996.7216608923. The cubic root of 48954114 is about 365.8163102251.

It can be divided in two parts, 489541 and 14, that added together give a triangular number (489555 = T989).

The spelling of 48954114 in words is "forty-eight million, nine hundred fifty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 433 571 866 1142 1299 1713 2598 3426 3897 4763 5139 6281 7794 9526 10278 12562 14289 18843 28578 37686 42867 56529 85734 113058 247243 494486 741729 1483458 2225187 2719673 4450374 5439346 8159019 16318038 24477057 48954114