Search a number
-
+
48966240 = 2535102013
BaseRepresentation
bin1011101011001…
…0101001100000
310102010202001110
42322302221200
5100013404430
64505303320
71133130501
oct272625140
9112122043
1048966240
1125705074
1214494b40
13a1b5a0b
146708ba8
1544737b0
hex2eb2a60

48966240 has 48 divisors (see below), whose sum is σ = 154245168. Its totient is φ = 13057536.

The previous prime is 48966233. The next prime is 48966251. The reversal of 48966240 is 4266984.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50527 + ... + 51486.

It is an arithmetic number, because the mean of its divisors is an integer number (3213441).

Almost surely, 248966240 is an apocalyptic number.

48966240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48966240 is an abundant number, since it is smaller than the sum of its proper divisors (105278928).

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

48966240 is a wasteful number, since it uses less digits than its factorization.

48966240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102031 (or 102023 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 48966240 is about 6997.5881559292. The cubic root of 48966240 is about 365.8465121292.

The spelling of 48966240 in words is "forty-eight million, nine hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 102013 204026 306039 408052 510065 612078 816104 1020130 1224156 1530195 1632208 2040260 2448312 3060390 3264416 4080520 4896624 6120780 8161040 9793248 12241560 16322080 24483120 48966240