Search a number
-
+
493075128 = 233713225767
BaseRepresentation
bin11101011000111…
…011101010111000
31021100210210220210
4131120323222320
52002211401003
6120532151120
715135032550
oct3530735270
91240723823
10493075128
11233367707
121191684a0
137b1cc140
14496b2160
152d44b503
hex1d63bab8

493075128 has 64 divisors (see below), whose sum is σ = 1517160960. Its totient is φ = 130041216.

The previous prime is 493075067. The next prime is 493075171. The reversal of 493075128 is 821570394.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110700 + ... + 115067.

It is an arithmetic number, because the mean of its divisors is an integer number (23705640).

Almost surely, 2493075128 is an apocalyptic number.

It is an amenable number.

493075128 is an abundant number, since it is smaller than the sum of its proper divisors (1024085832).

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

493075128 is a wasteful number, since it uses less digits than its factorization.

493075128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225796 (or 225792 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 493075128 is about 22205.2950442006. The cubic root of 493075128 is about 790.0192955817.

The spelling of 493075128 in words is "four hundred ninety-three million, seventy-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 225767 451534 677301 903068 1354602 1580369 1806136 2709204 2934971 3160738 4741107 5418408 5869942 6321476 8804913 9482214 11739884 12642952 17609826 18964428 20544797 23479768 35219652 37928856 41089594 61634391 70439304 82179188 123268782 164358376 246537564 493075128