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998839952 = 2411232271087
BaseRepresentation
bin111011100010010…
…001011010010000
32120121111022211022
4323202101122100
54021200334302
6243040335012
733515666555
oct7342213220
92517438738
10998839952
11472901270
1223a614468
1312bc22176
1496928a2c
155ca528a2
hex3b891690

998839952 has 80 divisors (see below), whose sum is σ = 2214715392. Its totient is φ = 431967360.

The previous prime is 998839951. The next prime is 998839979. The reversal of 998839952 is 259938899.

It is a happy number.

It is a super-2 number, since 2×9988399522 = 1995362499422724608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (998839951) 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 15 ways as a sum of consecutive naturals, for example, 918353 + ... + 919439.

Almost surely, 2998839952 is an apocalyptic number.

998839952 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 998839952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107357696).

998839952 is an abundant number, since it is smaller than the sum of its proper divisors (1215875440).

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

998839952 is a wasteful number, since it uses less digits than its factorization.

998839952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 62.

The square root of 998839952 is about 31604.4293098293. The cubic root of 998839952 is about 999.6131677134.

It can be divided in two parts, 9988 and 39952, that multiplied together give a square (399040576 = 199762).

The spelling of 998839952 in words is "nine hundred ninety-eight million, eight hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 227 253 368 454 506 908 1012 1087 1816 2024 2174 2497 3632 4048 4348 4994 5221 8696 9988 10442 11957 17392 19976 20884 23914 25001 39952 41768 47828 50002 57431 83536 95656 100004 114862 191312 200008 229724 246749 275011 400016 459448 493498 550022 918896 986996 1100044 1973992 2200088 2714239 3947984 4400176 5428478 5675227 10856956 11350454 21713912 22700908 43427824 45401816 62427497 90803632 124854994 249709988 499419976 998839952