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998141264 = 24172732957
BaseRepresentation
bin111011011111100…
…110110101010000
32120120011211101222
4323133212311100
54021011010024
6243013344212
733510026561
oct7337466520
92516154358
10998141264
1147247433a
1223a338068
1312ba39143
14967c6168
155c96585e
hex3b7e6d50

998141264 has 60 divisors (see below), whose sum is σ = 2083195164. Its totient is φ = 463122432.

The previous prime is 998141251. The next prime is 998141273. The reversal of 998141264 is 462141899.

It can be written as a sum of positive squares in 6 ways, for example, as 25200400 + 972940864 = 5020^2 + 31192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336074 + ... + 339030.

Almost surely, 2998141264 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 998141264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041597582).

998141264 is an abundant number, since it is smaller than the sum of its proper divisors (1085053900).

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

998141264 is a wasteful number, since it uses less digits than its factorization.

With its successor (998141265) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3049).

998141264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3049 counting only the distinct ones).

The product of its digits is 124416, while the sum is 44.

The square root of 998141264 is about 31593.3737356427. The cubic root of 998141264 is about 999.3800370587.

The spelling of 998141264 in words is "nine hundred ninety-eight million, one hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 289 292 578 584 1156 1168 1241 2312 2482 2957 4624 4964 5914 9928 11828 19856 21097 23656 42194 47312 50269 84388 100538 168776 201076 215861 337552 402152 431722 804304 854573 863444 1709146 1726888 3418292 3453776 3669637 6836584 7339274 13673168 14678548 29357096 58714192 62383829 124767658 249535316 499070632 998141264