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399123424 = 25721913397
BaseRepresentation
bin10111110010100…
…010001111100000
31000211000120102001
4113302202033200
51304133422144
6103334333344
712614331100
oct2762421740
91024016361
10399123424
11195327377
12b17ba254
13648c560b
143b017200
152508dbd4
hex17ca23e0

399123424 has 72 divisors (see below), whose sum is σ = 962244360. Its totient is φ = 162038016.

The previous prime is 399123409. The next prime is 399123449. The reversal of 399123424 is 424321993.

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, 23094 + ... + 36490.

It is an arithmetic number, because the mean of its divisors is an integer number (13364505).

Almost surely, 2399123424 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 399123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481122180).

399123424 is an abundant number, since it is smaller than the sum of its proper divisors (563120936).

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

399123424 is a wasteful number, since it uses less digits than its factorization.

399123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13440 (or 13425 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The square root of 399123424 is about 19978.0735808035. The cubic root of 399123424 is about 736.2676838223.

The spelling of 399123424 in words is "three hundred ninety-nine million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 3724 4256 7448 13397 14896 26794 29792 53588 93779 107176 187558 214352 254543 375116 428704 509086 656453 750232 1018172 1312906 1500464 1781801 2036344 2625812 3000928 3563602 4072688 5251624 7127204 8145376 10503248 12472607 14254408 21006496 24945214 28508816 49890428 57017632 99780856 199561712 399123424