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399044672 = 26131789317
BaseRepresentation
bin10111110010001…
…111000001000000
31000210212120101022
4113302033001000
51304123412142
6103332525012
712613552355
oct2762170100
91023776338
10399044672
11195283194
12b1780768
1364898810
143add662c
15250756d2
hex17c8f040

399044672 has 112 divisors (see below), whose sum is σ = 915954480. Its totient is φ = 170852352.

The previous prime is 399044609. The next prime is 399044683. The reversal of 399044672 is 276440993.

It can be written as a sum of positive squares in 8 ways, for example, as 87310336 + 311734336 = 9344^2 + 17656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258658 + ... + 1258974.

It is an arithmetic number, because the mean of its divisors is an integer number (8178165).

Almost surely, 2399044672 is an apocalyptic number.

399044672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457977240).

399044672 is an abundant number, since it is smaller than the sum of its proper divisors (516909808).

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

399044672 is a wasteful number, since it uses less digits than its factorization.

399044672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The square root of 399044672 is about 19976.1025227645. The cubic root of 399044672 is about 736.2192557228.

The spelling of 399044672 in words is "three hundred ninety-nine million, forty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 89 104 136 178 208 221 272 317 356 416 442 544 634 712 832 884 1088 1157 1268 1424 1513 1768 2314 2536 2848 3026 3536 4121 4628 5072 5389 5696 6052 7072 8242 9256 10144 10778 12104 14144 16484 18512 19669 20288 21556 24208 28213 32968 37024 39338 43112 48416 56426 65936 70057 74048 78676 86224 96832 112852 131872 140114 157352 172448 225704 263744 280228 314704 344896 366769 451408 479621 560456 629408 733538 902816 959242 1120912 1258816 1467076 1805632 1918484 2241824 2934152 3836968 4483648 5868304 6235073 7673936 11736608 12470146 15347872 23473216 24940292 30695744 49880584 99761168 199522336 399044672