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998511052 = 2271123472999
BaseRepresentation
bin111011100001000…
…001000111001100
32120120212121122211
4323201001013030
54021104323202
6243025320204
733513126640
oct7341010714
92516777584
10998511052
114726a7150
1223a496064
1312bb38556
1496880c20
155c9da1d7
hex3b8411cc

998511052 has 96 divisors (see below), whose sum is σ = 2322432000. Its totient is φ = 364077120.

The previous prime is 998511037. The next prime is 998511071. The reversal of 998511052 is 250115899.

It is a super-2 number, since 2×9985110522 = 1994048641932293408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 998510996 and 998511014.

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 31 ways as a sum of consecutive naturals, for example, 331449 + ... + 334447.

It is an arithmetic number, because the mean of its divisors is an integer number (24192000).

Almost surely, 2998511052 is an apocalyptic number.

998511052 is a gapful number since it is divisible by the number (92) 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 998511052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161216000).

998511052 is an abundant number, since it is smaller than the sum of its proper divisors (1323920948).

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

998511052 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (998511051) it forms an eRAP, since the sums of their prime factors are consecutive (3090 and 3091).

998511052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 40.

The square root of 998511052 is about 31599.2254968377. The cubic root of 998511052 is about 999.5034374665.

The spelling of 998511052 in words is "nine hundred ninety-eight million, five hundred eleven thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 47 77 92 94 154 161 188 253 308 322 329 506 517 644 658 1012 1034 1081 1316 1771 2068 2162 2999 3542 3619 4324 5998 7084 7238 7567 11891 11996 14476 15134 20993 23782 30268 32989 41986 47564 65978 68977 83237 83972 131956 137954 140953 166474 230923 275908 281906 332948 461846 482839 563812 758747 923692 965678 986671 1517494 1550483 1931356 1973342 3034988 3100966 3241919 3946684 5311229 6201932 6483838 10622458 10853381 12967676 21244916 21706762 22693433 35661109 43413524 45386866 71322218 90773732 142644436 249627763 499255526 998511052