Search a number
-
+
389465424 = 24328930389
BaseRepresentation
bin10111001101101…
…100010101010000
31000010211220010100
4113031230111100
51244200343144
6102351332400
712436254465
oct2715542520
91003756110
10389465424
1118a930157
12aa521100
13628c361a
1439a2166c
15242d2269
hex1736c550

389465424 has 60 divisors (see below), whose sum is σ = 1102245300. Its totient is φ = 128358912.

The previous prime is 389465407. The next prime is 389465471. The reversal of 389465424 is 424564983.

It can be written as a sum of positive squares in 2 ways, for example, as 169833024 + 219632400 = 13032^2 + 14820^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 389465424.

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, 2379 + ... + 28010.

It is an arithmetic number, because the mean of its divisors is an integer number (18370755).

Almost surely, 2389465424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389465424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551122650).

389465424 is an abundant number, since it is smaller than the sum of its proper divisors (712779876).

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

389465424 is a wasteful number, since it uses less digits than its factorization.

389465424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30492 (or 30483 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 389465424 is about 19734.8783629391. The cubic root of 389465424 is about 730.2803851937.

The spelling of 389465424 in words is "three hundred eighty-nine million, four hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 12816 30389 60778 91167 121556 182334 243112 273501 364668 486224 547002 729336 1094004 1458672 2188008 2704621 4376016 5409242 8113863 10818484 16227726 21636968 24341589 32455452 43273936 48683178 64910904 97366356 129821808 194732712 389465424