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2098748928 = 2933736929
BaseRepresentation
bin111110100011000…
…0101111000000000
312102021011111021210
41331012011320000
513244234431203
6544131250120
7103003033353
oct17506057000
95367144253
102098748928
11987764151
124a6a49940
13275a70593
1415ca4229a
15c43bb803
hex7d185e00

2098748928 has 80 divisors (see below), whose sum is σ = 5742467280. Its totient is φ = 680656896.

The previous prime is 2098748881. The next prime is 2098748929. The reversal of 2098748928 is 8298478902.

It is a super-3 number, since 3×20987489283 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098748929) 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 7 ways as a sum of consecutive naturals, for example, 38368 + ... + 75296.

It is an arithmetic number, because the mean of its divisors is an integer number (71780841).

Almost surely, 22098748928 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 2098748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871233640).

2098748928 is an abundant number, since it is smaller than the sum of its proper divisors (3643718352).

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

2098748928 is an equidigital number, since it uses as much as digits as its factorization.

2098748928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36987 (or 36971 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The square root of 2098748928 is about 45812.1046012951. The cubic root of 2098748928 is about 1280.3248134016.

The spelling of 2098748928 in words is "two billion, ninety-eight million, seven hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1184 1536 1776 2368 3552 4736 7104 9472 14208 18944 28416 36929 56832 73858 110787 147716 221574 295432 443148 590864 886296 1181728 1366373 1772592 2363456 2732746 3545184 4099119 4726912 5465492 7090368 8198238 9453824 10930984 14180736 16396476 18907648 21861968 28361472 32792952 43723936 56722944 65585904 87447872 131171808 174895744 262343616 349791488 524687232 699582976 1049374464 2098748928