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198427992 = 23372389577
BaseRepresentation
bin10111101001111…
…00010101011000
3111211101012000220
423310330111120
5401244143432
631405000040
74626416160
oct1364742530
9454335026
10198427992
11a2009984
1256553020
1332156919
141c4d35a0
151264872c
hexbd3c558

198427992 has 128 divisors (see below), whose sum is σ = 599270400. Its totient is φ = 53526528.

The previous prime is 198427973. The next prime is 198428057. The reversal of 198427992 is 299724891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343608 + ... + 344184.

It is an arithmetic number, because the mean of its divisors is an integer number (4681800).

Almost surely, 2198427992 is an apocalyptic number.

198427992 is a gapful number since it is divisible by the number (12) 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 198427992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299635200).

198427992 is an abundant number, since it is smaller than the sum of its proper divisors (400842408).

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

198427992 is a wasteful number, since it uses less digits than its factorization.

198427992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 701 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 198427992 is about 14086.4471035105. The cubic root of 198427992 is about 583.2673225622.

The spelling of 198427992 in words is "one hundred ninety-eight million, four hundred twenty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 89 92 138 161 168 178 184 267 276 322 356 483 534 552 577 623 644 712 966 1068 1154 1246 1288 1731 1869 1932 2047 2136 2308 2492 3462 3738 3864 4039 4094 4616 4984 6141 6924 7476 8078 8188 12117 12282 13271 13848 14329 14952 16156 16376 24234 24564 26542 28658 32312 39813 42987 48468 49128 51353 53084 57316 79626 85974 92897 96936 102706 106168 114632 154059 159252 171948 185794 205412 278691 308118 318504 343896 359471 371588 410824 557382 616236 718942 743176 1078413 1114764 1181119 1232472 1437884 2156826 2229528 2362238 2875768 3543357 4313652 4724476 7086714 8267833 8627304 9448952 14173428 16535666 24803499 28346856 33071332 49606998 66142664 99213996 198427992