Search a number
-
+
48692240 = 245608653
BaseRepresentation
bin1011100110111…
…1110000010000
310101121211012022
42321233300100
544431122430
64455351012
71130606612
oct271576020
9111554168
1048692240
1125538223
1214382468
13a11b09c
146676db2
15441c4e5
hex2e6fc10

48692240 has 20 divisors (see below), whose sum is σ = 113209644. Its totient is φ = 19476864.

The previous prime is 48692239. The next prime is 48692249. The reversal of 48692240 is 4229684.

48692240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23931664 + 24760576 = 4892^2 + 4976^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48692240.

It is not an unprimeable number, because it can be changed into a prime (48692249) 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 3 ways as a sum of consecutive naturals, for example, 304247 + ... + 304406.

Almost surely, 248692240 is an apocalyptic number.

48692240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48692240 is an abundant number, since it is smaller than the sum of its proper divisors (64517404).

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

48692240 is a wasteful number, since it uses less digits than its factorization.

48692240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608666 (or 608660 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 48692240 is about 6977.9825164585. The cubic root of 48692240 is about 365.1628472062.

The spelling of 48692240 in words is "forty-eight million, six hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 608653 1217306 2434612 3043265 4869224 6086530 9738448 12173060 24346120 48692240