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2098285344 = 25333178341
BaseRepresentation
bin111110100010001…
…0100101100100000
312102020021221101000
41331010110230200
513244130112334
6544113312000
7102666062661
oct17504245440
95366257330
102098285344
11987477921
124a6865600
1327593a57c
1415c961368
15c4329299
hex7d114b20

2098285344 has 96 divisors (see below), whose sum is σ = 6317498880. Its totient is φ = 676857600.

The previous prime is 2098285339. The next prime is 2098285351. The reversal of 2098285344 is 4435828902.

2098285344 is a `hidden beast` number, since 2 + 0 + 98 + 28 + 534 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2098285344.

It is an unprimeable number.

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, 12387 + ... + 65954.

It is an arithmetic number, because the mean of its divisors is an integer number (65807280).

Almost surely, 22098285344 is an apocalyptic number.

2098285344 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 2098285344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158749440).

2098285344 is an abundant number, since it is smaller than the sum of its proper divisors (4219213536).

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

2098285344 is a wasteful number, since it uses less digits than its factorization.

2098285344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78391 (or 78377 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2098285344 is about 45807.0446983867. The cubic root of 2098285344 is about 1280.2305379029.

The spelling of 2098285344 in words is "two billion, ninety-eight million, two hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 78341 156682 235023 313364 470046 626728 705069 940092 1253456 1410138 1880184 2115207 2428571 2506912 2820276 3760368 4230414 4857142 5640552 7285713 7520736 8460828 9714284 11281104 14571426 16921656 19428568 21857139 22562208 29142852 33843312 38857136 43714278 58285704 65571417 67686624 77714272 87428556 116571408 131142834 174857112 233142816 262285668 349714224 524571336 699428448 1049142672 2098285344