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1998045852 = 2231119312829
BaseRepresentation
bin111011100010111…
…1100001010011100
312011020200020122020
41313011330022130
513042444431402
6530133020140
7100341052365
oct16705741234
95136606566
101998045852
11935932470
12479184650
1325ac41a6a
1414d50ab6c
15ba6288bc
hex7717c29c

1998045852 has 144 divisors (see below), whose sum is σ = 5538556800. Its totient is φ = 554428800.

The previous prime is 1998045827. The next prime is 1998045913. The reversal of 1998045852 is 2585408991.

It is a junction number, because it is equal to n+sod(n) for n = 1998045795 and 1998045804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2409774 + ... + 2410602.

It is an arithmetic number, because the mean of its divisors is an integer number (38462200).

Almost surely, 21998045852 is an apocalyptic number.

1998045852 is a gapful number since it is divisible by the number (12) 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 1998045852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769278400).

1998045852 is an abundant number, since it is smaller than the sum of its proper divisors (3540510948).

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

1998045852 is a wasteful number, since it uses less digits than its factorization.

1998045852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 51.

The square root of 1998045852 is about 44699.5061717688. The cubic root of 1998045852 is about 1259.5105708097.

The spelling of 1998045852 in words is "one billion, nine hundred ninety-eight million, forty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 31 33 38 44 57 62 66 76 93 114 124 132 186 209 228 341 372 418 589 627 682 829 836 961 1023 1178 1254 1364 1658 1767 1922 2046 2356 2487 2508 2883 3316 3534 3844 4092 4974 5766 6479 7068 9119 9948 10571 11532 12958 15751 18238 18259 19437 21142 25699 25916 27357 31502 31713 36476 36518 38874 42284 47253 51398 54714 54777 63004 63426 73036 77097 77748 94506 102796 109428 109554 126852 154194 173261 189012 200849 219108 282689 308388 346522 401698 488281 519783 565378 602547 693044 796669 803396 848067 976562 1039566 1130756 1205094 1464843 1593338 1696134 1953124 2079132 2390007 2410188 2929686 3186676 3392268 4780014 5371091 5859372 8763359 9560028 10742182 15136711 16113273 17526718 21484364 26290077 30273422 32226546 35053436 45410133 52580154 60546844 64453092 90820266 105160308 166503821 181640532 333007642 499511463 666015284 999022926 1998045852