Search a number
-
+
77468853 = 37211232083
BaseRepresentation
bin1001001111000…
…01010010110101
312101202211021210
410213201102311
5124313000403
611404232033
71630321500
oct447412265
9171684253
1077468853
113a802550
1221b3b619
1313085277
14a408137
156c03b03
hex49e14b5

77468853 has 48 divisors (see below), whose sum is σ = 136843776. Its totient is φ = 38475360.

The previous prime is 77468851. The next prime is 77468863. The reversal of 77468853 is 35886477.

It is not a de Polignac number, because 77468853 - 21 = 77468851 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77468851) 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 47 ways as a sum of consecutive naturals, for example, 36150 + ... + 38232.

It is an arithmetic number, because the mean of its divisors is an integer number (2850912).

Almost surely, 277468853 is an apocalyptic number.

It is an amenable number.

77468853 is a deficient number, since it is larger than the sum of its proper divisors (59374923).

77468853 is a wasteful number, since it uses less digits than its factorization.

77468853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2127 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 77468853 is about 8801.6392223267. The cubic root of 77468853 is about 426.2938251537.

The spelling of 77468853 in words is "seventy-seven million, four hundred sixty-eight thousand, eight hundred fifty-three".

Divisors: 1 3 7 11 21 23 33 49 69 77 147 161 231 253 483 539 759 1127 1617 1771 2083 3381 5313 6249 12397 14581 22913 37191 43743 47909 68739 102067 143727 160391 306201 335363 481173 526999 1006089 1122737 1580997 2347541 3368211 3688993 7042623 11066979 25822951 77468853