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2098355904 = 263213127809
BaseRepresentation
bin111110100010010…
…0101111011000000
312102020102112011100
41331010211323000
513244134342104
6544115014400
7102666505461
oct17504457300
95366375140
102098355904
11987515937
124a689a400
13275963718
1415c97cd68
15c4340139
hex7d125ec0

2098355904 has 84 divisors (see below), whose sum is σ = 6060688920. Its totient is φ = 694087680.

The previous prime is 2098355899. The next prime is 2098355927. The reversal of 2098355904 is 4095538902.

2098355904 is a `hidden beast` number, since 2 + 0 + 98 + 3 + 559 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2098355904.

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, 61552 + ... + 89360.

Almost surely, 22098355904 is an apocalyptic number.

2098355904 is a gapful number since it is divisible by the number (24) 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 2098355904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030344460).

2098355904 is an abundant number, since it is smaller than the sum of its proper divisors (3962333016).

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

2098355904 is a wasteful number, since it uses less digits than its factorization.

2098355904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27958 (or 27945 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2098355904 is about 45807.8148791230. The cubic root of 2098355904 is about 1280.2448880412.

The spelling of 2098355904 in words is "two billion, ninety-eight million, three hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 131 144 192 262 288 393 524 576 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 8384 9432 12576 18864 25152 27809 37728 55618 75456 83427 111236 166854 222472 250281 333708 444944 500562 667416 889888 1001124 1334832 1779776 2002248 2669664 3642979 4004496 5339328 7285958 8008992 10928937 14571916 16017984 21857874 29143832 32786811 43715748 58287664 65573622 87431496 116575328 131147244 174862992 233150656 262294488 349725984 524588976 699451968 1049177952 2098355904