Search a number
-
+
164589048 = 233213175843
BaseRepresentation
bin10011100111101…
…10110111111000
3102110200222201200
421303312313320
5314113322143
624155414200
74035661311
oct1163666770
9373628650
10164589048
11849a7208
1247154360
1328139490
1417c05608
15e6b21d3
hex9cf6df8

164589048 has 48 divisors (see below), whose sum is σ = 480054120. Its totient is φ = 50642496.

The previous prime is 164589017. The next prime is 164589071. The reversal of 164589048 is 840985461.

164589048 is a `hidden beast` number, since 1 + 64 + 589 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 164588994 and 164589012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86986 + ... + 88857.

Almost surely, 2164589048 is an apocalyptic number.

164589048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164589048 is an abundant number, since it is smaller than the sum of its proper divisors (315465072).

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

164589048 is a wasteful number, since it uses less digits than its factorization.

164589048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175868 (or 175861 counting only the distinct ones).

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

The square root of 164589048 is about 12829.2263211778. The cubic root of 164589048 is about 548.0249247192.

The spelling of 164589048 in words is "one hundred sixty-four million, five hundred eighty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 175843 351686 527529 703372 1055058 1406744 1582587 2110116 2285959 3165174 4220232 4571918 6330348 6857877 9143836 12660696 13715754 18287672 20573631 27431508 41147262 54863016 82294524 164589048