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2049559008 = 25376149999
BaseRepresentation
bin111101000101001…
…1100100111100000
312021211121101101220
41322022130213200
513144141342013
6535213055040
7101534651460
oct17212344740
95254541356
102049559008
11961a17022
12492487480
13268809b13
141562b9ba0
15bee01b23
hex7a29c9e0

2049559008 has 96 divisors (see below), whose sum is σ = 6249600000. Its totient is φ = 575976960.

The previous prime is 2049558989. The next prime is 2049559037. The reversal of 2049559008 is 8009559402.

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 congruent number.

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, 15993 + ... + 65991.

It is an arithmetic number, because the mean of its divisors is an integer number (65100000).

Almost surely, 22049559008 is an apocalyptic number.

2049559008 is a gapful number since it is divisible by the number (28) 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 2049559008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800000).

2049559008 is an abundant number, since it is smaller than the sum of its proper divisors (4200040992).

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

2049559008 is a wasteful number, since it uses less digits than its factorization.

2049559008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50080 (or 50072 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 2049559008 is about 45272.0554868011. The cubic root of 2049559008 is about 1270.2429956428.

The spelling of 2049559008 in words is "two billion, forty-nine million, five hundred fifty-nine thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 3416 5124 5856 6832 10248 13664 20496 40992 49999 99998 149997 199996 299994 349993 399992 599988 699986 799984 1049979 1199976 1399972 1599968 2099958 2399952 2799944 3049939 4199916 4799904 5599888 6099878 8399832 9149817 11199776 12199756 16799664 18299634 21349573 24399512 33599328 36599268 42699146 48799024 64048719 73198536 85398292 97598048 128097438 146397072 170796584 256194876 292794144 341593168 512389752 683186336 1024779504 2049559008