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389164824 = 23343119373
BaseRepresentation
bin10111001100100…
…010111100011000
31000010021121210000
4113030202330120
51244111233244
6102341053000
712433563216
oct2714427430
91003247700
10389164824
1118a745324
12aa3b7160
1362819859
1439983cb6
1524273169
hex17322f18

389164824 has 80 divisors (see below), whose sum is σ = 1125241920. Its totient is φ = 125530560.

The previous prime is 389164801. The next prime is 389164829. The reversal of 389164824 is 428461983.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 389164824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389164829) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10402 + ... + 29774.

It is an arithmetic number, because the mean of its divisors is an integer number (14065524).

Almost surely, 2389164824 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 389164824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562620960).

389164824 is an abundant number, since it is smaller than the sum of its proper divisors (736077096).

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

389164824 is a wasteful number, since it uses less digits than its factorization.

389164824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19422 (or 19409 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 389164824 is about 19727.2609350614. The cubic root of 389164824 is about 730.0924534183.

The spelling of 389164824 in words is "three hundred eighty-nine million, one hundred sixty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 5022 6696 10044 19373 20088 38746 58119 77492 116238 154984 174357 232476 348714 464952 523071 600563 697428 1046142 1201126 1394856 1569213 1801689 2092284 2402252 3138426 3603378 4184568 4804504 5405067 6276852 7206756 10810134 12553704 14413512 16215201 21620268 32430402 43240536 48645603 64860804 97291206 129721608 194582412 389164824