Search a number
-
+
78453765 = 355134967
BaseRepresentation
bin1001010110100…
…01110000000101
312110121212100000
410223101300011
5130041010030
611441311513
71641563115
oct453216005
9173555300
1078453765
1140315525
1222335599
131333b660
14a5c3045
156d4a860
hex4ad1c05

78453765 has 48 divisors (see below), whose sum is σ = 151901568. Its totient is φ = 38615616.

The previous prime is 78453737. The next prime is 78453769. The reversal of 78453765 is 56735487.

It is not a de Polignac number, because 78453765 - 25 = 78453733 is a prime.

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

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 78453765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78453769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13312 + ... + 18278.

It is an arithmetic number, because the mean of its divisors is an integer number (3164616).

Almost surely, 278453765 is an apocalyptic number.

It is an amenable number.

78453765 is a deficient number, since it is larger than the sum of its proper divisors (73447803).

78453765 is a wasteful number, since it uses less digits than its factorization.

78453765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4988 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 78453765 is about 8857.4129970325. The cubic root of 78453765 is about 428.0928063952.

The spelling of 78453765 in words is "seventy-eight million, four hundred fifty-three thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 243 351 405 585 1053 1215 1755 3159 4967 5265 14901 15795 24835 44703 64571 74505 134109 193713 223515 322855 402327 581139 670545 968565 1206981 1743417 2011635 2905695 5230251 6034905 8717085 15690753 26151255 78453765