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98434050 = 235211132353
BaseRepresentation
bin1011101110111…
…11110000000010
320212012222010120
411313133300002
5200144342200
613433441110
72303450511
oct567376002
9225188116
1098434050
1150621a60
1228b70196
1317515b00
14d104678
1589959a0
hex5ddfc02

98434050 has 144 divisors (see below), whose sum is σ = 289186848. Its totient is φ = 21964800.

The previous prime is 98434013. The next prime is 98434051. The reversal of 98434050 is 5043489.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (98434051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 278674 + ... + 279026.

It is an arithmetic number, because the mean of its divisors is an integer number (2008242).

Almost surely, 298434050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98434050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144593424).

98434050 is an abundant number, since it is smaller than the sum of its proper divisors (190752798).

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

98434050 is a wasteful number, since it uses less digits than its factorization.

98434050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 98434050 is about 9921.3935513112. The cubic root of 98434050 is about 461.7232933852.

The spelling of 98434050 in words is "ninety-eight million, four hundred thirty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 130 143 150 165 169 195 275 286 325 330 338 353 390 429 507 550 650 706 715 825 845 858 975 1014 1059 1430 1650 1690 1765 1859 1950 2118 2145 2535 3530 3575 3718 3883 4225 4290 4589 5070 5295 5577 7150 7766 8450 8825 9178 9295 10590 10725 11154 11649 12675 13767 17650 18590 19415 21450 22945 23298 25350 26475 27534 27885 38830 45890 46475 50479 52950 55770 58245 59657 68835 92950 97075 100958 114725 116490 119314 137670 139425 151437 178971 194150 229450 252395 278850 291225 298285 302874 344175 357942 504790 582450 596570 656227 688350 757185 894855 1261975 1312454 1491425 1514370 1789710 1968681 2523950 2982850 3281135 3785925 3937362 4474275 6562270 7571850 8948550 9843405 16405675 19686810 32811350 49217025 98434050