Search a number
-
+
48212240 = 2451035851
BaseRepresentation
bin1011011111101…
…0100100010000
310100201102202112
42313322210100
544320242430
64441204452
71123540316
oct267724420
9110642675
1048212240
112523a62a
1214190728
139cb076b
1465900b6
154375195
hex2dfa910

48212240 has 40 divisors (see below), whose sum is σ = 113201088. Its totient is φ = 19094400.

The previous prime is 48212233. The next prime is 48212243. The reversal of 48212240 is 4221284.

It is a happy number.

48212240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (48212243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5315 + ... + 11165.

Almost surely, 248212240 is an apocalyptic number.

48212240 is a gapful number since it is divisible by the number (40) 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 48212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56600544).

48212240 is an abundant number, since it is smaller than the sum of its proper divisors (64988848).

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

48212240 is a wasteful number, since it uses less digits than its factorization.

48212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 48212240 is about 6943.5034384668. The cubic root of 48212240 is about 363.9589777866.

The spelling of 48212240 in words is "forty-eight million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 4120 5851 8240 11702 23404 29255 46808 58510 93616 117020 234040 468080 602653 1205306 2410612 3013265 4821224 6026530 9642448 12053060 24106120 48212240