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998686404 = 22322322292
BaseRepresentation
bin111011100001101…
…011111011000100
32120121012112012100
4323201223323010
54021130431104
6243033152100
733514460112
oct7341537304
92517175170
10998686404
11472806971
1223a55b630
1312bb9a301
14968c8ab2
155ca22139
hex3b86bec4

998686404 has 81 divisors (see below), whose sum is σ = 2650562733. Its totient is φ = 317031264.

The previous prime is 998686399. The next prime is 998686411. The reversal of 998686404 is 404686899.

The square root of 998686404 is 31602.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 930128004 + 68558400 = 30498^2 + 8280^2 .

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 26 ways as a sum of consecutive naturals, for example, 4360962 + ... + 4361190.

Almost surely, 2998686404 is an apocalyptic number.

998686404 is the 31602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998686404

998686404 is an abundant number, since it is smaller than the sum of its proper divisors (1651876329).

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

998686404 is a wasteful number, since it uses less digits than its factorization.

998686404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The cubic root of 998686404 is about 999.5619428006.

The spelling of 998686404 in words is "nine hundred ninety-eight million, six hundred eighty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 229 276 414 458 529 687 828 916 1058 1374 1587 2061 2116 2748 3174 4122 4761 5267 6348 8244 9522 10534 15801 19044 21068 31602 47403 52441 63204 94806 104882 121141 157323 189612 209764 242282 314646 363423 471969 484564 629292 726846 943938 1090269 1206143 1453692 1887876 2180538 2412286 3618429 4361076 4824572 7236858 10855287 14473716 21710574 27741289 43421148 55482578 83223867 110965156 166447734 249671601 332895468 499343202 998686404