Search a number
-
+
48789405 = 3357173037
BaseRepresentation
bin1011101000011…
…1011110011101
310101210202111000
42322013132131
544442230110
64501420513
71131463110
oct272073635
9111722430
1048789405
11255a4225
121440a739
13a153392
1466a0577
15443b1c0
hex2e8779d

48789405 has 64 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 20984832.

The previous prime is 48789379. The next prime is 48789409. The reversal of 48789405 is 50498784.

It is not a de Polignac number, because 48789405 - 26 = 48789341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48789409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14547 + ... + 17583.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 248789405 is an apocalyptic number.

48789405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48789405 is an abundant number, since it is smaller than the sum of its proper divisors (56203875).

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

48789405 is a wasteful number, since it uses less digits than its factorization.

48789405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 48789405 is about 6984.9413025451. The cubic root of 48789405 is about 365.4055790628.

It can be divided in two parts, 48789 and 405, that added together give a palindrome (49194).

The spelling of 48789405 in words is "forty-eight million, seven hundred eighty-nine thousand, four hundred five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 105 119 135 153 189 255 315 357 459 595 765 945 1071 1785 2295 3037 3213 5355 9111 15185 16065 21259 27333 45555 51629 63777 81999 106295 136665 154887 191331 258145 318885 361403 409995 464661 573993 774435 956655 1084209 1393983 1807015 2323305 2869965 3252627 5421045 6969915 9757881 16263135 48789405