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2059941408 = 253717180317
BaseRepresentation
bin111101011001000…
…0011011000100000
312022120010212101020
41322302003120200
513204321111113
6540223405440
7102022133040
oct17262033040
95276125336
102059941408
11967868518
12495a53880
1326aa03755
1415781d720
15c0ca3023
hex7ac83620

2059941408 has 96 divisors (see below), whose sum is σ = 6543379584. Its totient is φ = 553930752.

The previous prime is 2059941383. The next prime is 2059941409. The reversal of 2059941408 is 8041499502.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2059941408.

It is not an unprimeable number, because it can be changed into a prime (2059941409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78735 + ... + 101582.

It is an arithmetic number, because the mean of its divisors is an integer number (68160204).

Almost surely, 22059941408 is an apocalyptic number.

2059941408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2059941408 is an abundant number, since it is smaller than the sum of its proper divisors (4483438176).

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

2059941408 is a wasteful number, since it uses less digits than its factorization.

2059941408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180354 (or 180346 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2059941408 is about 45386.5773990505. The cubic root of 2059941408 is about 1272.3842634782.

The spelling of 2059941408 in words is "two billion, fifty-nine million, nine hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 180317 360634 540951 721268 1081902 1262219 1442536 2163804 2524438 2885072 3065389 3786657 4327608 5048876 5770144 6130778 7573314 8655216 9196167 10097752 12261556 15146628 17310432 18392334 20195504 21457723 24523112 30293256 36784668 40391008 42915446 49046224 60586512 64373169 73569336 85830892 98092448 121173024 128746338 147138672 171661784 257492676 294277344 343323568 514985352 686647136 1029970704 2059941408