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198731264 = 29419467
BaseRepresentation
bin10111101100001…
…10011000000000
3111211221121001012
423312012120000
5401333400024
631415300052
74632121304
oct1366063000
9454847035
10198731264
11a21a6816
125667a628
1332231984
141c571d04
15126a850e
hexbd86600

198731264 has 40 divisors (see below), whose sum is σ = 406802088. Its totient is φ = 96931840.

The previous prime is 198731263. The next prime is 198731311. The reversal of 198731264 is 462137891.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198731261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16259 + ... + 25725.

Almost surely, 2198731264 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 198731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203401044).

198731264 is an abundant number, since it is smaller than the sum of its proper divisors (208070824).

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

198731264 is an frugal number, since it uses more digits than its factorization.

198731264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9526 (or 9510 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 198731264 is about 14097.2076667686. The cubic root of 198731264 is about 583.5643213287.

The spelling of 198731264 in words is "one hundred ninety-eight million, seven hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1312 2624 5248 9467 10496 18934 20992 37868 75736 151472 302944 388147 605888 776294 1211776 1552588 2423552 3105176 4847104 6210352 12420704 24841408 49682816 99365632 198731264