Search a number
-
+
94808385 = 32572193173
BaseRepresentation
bin1011010011010…
…10100101000001
320121101202122200
411221222211001
5143232332020
613224023413
72230600200
oct551524501
9217352580
1094808385
1149575a41
1227901b69
1316846749
14c83d237
1584cb590
hex5a6a941

94808385 has 144 divisors (see below), whose sum is σ = 210562560. Its totient is φ = 39191040.

The previous prime is 94808377. The next prime is 94808411. The reversal of 94808385 is 58380849.

It is not a de Polignac number, because 94808385 - 23 = 94808377 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 94808385.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1298709 + ... + 1298781.

It is an arithmetic number, because the mean of its divisors is an integer number (1462240).

Almost surely, 294808385 is an apocalyptic number.

94808385 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

94808385 is an abundant number, since it is smaller than the sum of its proper divisors (115754175).

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

94808385 is a wasteful number, since it uses less digits than its factorization.

94808385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 94808385 is about 9736.9597411102. The cubic root of 94808385 is about 455.9832778956.

The spelling of 94808385 in words is "ninety-four million, eight hundred eight thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 31 35 45 49 57 63 73 93 95 105 133 147 155 171 217 219 245 279 285 315 365 399 441 465 511 589 651 657 665 735 855 931 1085 1095 1197 1387 1395 1519 1533 1767 1953 1995 2205 2263 2555 2793 2945 3255 3285 3577 4123 4161 4557 4599 4655 5301 5985 6789 6935 7595 7665 8379 8835 9709 9765 10731 11315 12369 12483 13671 13965 15841 17885 20367 20615 20805 22785 22995 26505 28861 29127 32193 33945 37107 41895 42997 47523 48545 53655 61845 62415 67963 68355 79205 86583 87381 101835 110887 128991 142569 144305 145635 160965 185535 203889 214985 237615 259749 300979 332661 339815 386973 432915 436905 554435 611667 644955 712845 902937 997983 1019445 1298745 1504895 1663305 1934865 2106853 2708811 3058335 4514685 4989915 6320559 10534265 13544055 18961677 31602795 94808385