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998997792 = 253131747087
BaseRepresentation
bin111011100010110…
…111111100100000
32120121210100100020
4323202313330200
54021220412132
6243043553440
733520225002
oct7342677440
92517710306
10998997792
114729a9911
1223a68b880
1312bc78c70
149696a372
155ca8452c
hex3b8b7f20

998997792 has 96 divisors (see below), whose sum is σ = 2990276352. Its totient is φ = 289296384.

The previous prime is 998997787. The next prime is 998997803. The reversal of 998997792 is 297799899.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 2328 + ... + 44759.

It is an arithmetic number, because the mean of its divisors is an integer number (31148712).

Almost surely, 2998997792 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 998997792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495138176).

998997792 is an abundant number, since it is smaller than the sum of its proper divisors (1991278560).

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

998997792 is a wasteful number, since it uses less digits than its factorization.

998997792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47130 (or 47122 counting only the distinct ones).

The product of its digits is 46294416, while the sum is 69.

The square root of 998997792 is about 31606.9263295247. The cubic root of 998997792 is about 999.6658190022.

The spelling of 998997792 in words is "nine hundred ninety-eight million, nine hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 7072 10608 21216 47087 94174 141261 188348 282522 376696 565044 612131 753392 800479 1130088 1224262 1506784 1600958 1836393 2260176 2401437 2448524 3201916 3672786 4520352 4802874 4897048 6403832 7345572 9605748 9794096 10406227 12807664 14691144 19211496 19588192 20812454 25615328 29382288 31218681 38422992 41624908 58764576 62437362 76845984 83249816 124874724 166499632 249749448 332999264 499498896 998997792