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399728544 = 25353251313
BaseRepresentation
bin10111110100110…
…101111110100000
31000212011022110220
4113310311332200
51304312303134
6103355323040
712622431225
oct2764657640
91025138426
10399728544
111956aaa76
12b1a50480
1364a77b87
143b13394c
152515d149
hex17d35fa0

399728544 has 96 divisors (see below), whose sum is σ = 1076773824. Its totient is φ = 129792000.

The previous prime is 399728543. The next prime is 399728579. The reversal of 399728544 is 445827993.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (2177280) is a multiple of the sum of its prime factors (630).

It is not an unprimeable number, because it can be changed into a prime (399728543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1276932 + ... + 1277244.

It is an arithmetic number, because the mean of its divisors is an integer number (11216394).

Almost surely, 2399728544 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 399728544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538386912).

399728544 is an abundant number, since it is smaller than the sum of its proper divisors (677045280).

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

399728544 is a wasteful number, since it uses less digits than its factorization.

399728544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 399728544 is about 19993.2124482285. The cubic root of 399728544 is about 736.6395866006.

It can be divided in two parts, 39972 and 8544, that added together give a triangular number (48516 = T311).

The spelling of 399728544 in words is "three hundred ninety-nine million, seven hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 251 313 318 424 502 626 636 753 848 939 1004 1252 1272 1506 1696 1878 2008 2504 2544 3012 3756 4016 5008 5088 6024 7512 8032 10016 12048 13303 15024 16589 24096 26606 30048 33178 39909 49767 53212 66356 78563 79818 99534 106424 132712 157126 159636 199068 212848 235689 265424 314252 319272 398136 425696 471378 530848 628504 638544 796272 942756 1257008 1277088 1592544 1885512 2514016 3771024 4163839 7542048 8327678 12491517 16655356 24983034 33310712 49966068 66621424 99932136 133242848 199864272 399728544