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98642000 = 2453313743
BaseRepresentation
bin1011110000100…
…10100001010000
320212121112101102
411320102201100
5200223021000
613442123532
72305305002
oct570224120
9225545342
1098642000
1150754216
12290505a8
1317589662
14d15a372
1589d73d5
hex5e12850

98642000 has 160 divisors (see below), whose sum is σ = 258745344. Its totient is φ = 36288000.

The previous prime is 98641999. The next prime is 98642003. The reversal of 98642000 is 24689.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98642003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2293979 + ... + 2294021.

Almost surely, 298642000 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 98642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129372672).

98642000 is an abundant number, since it is smaller than the sum of its proper divisors (160103344).

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

98642000 is a wasteful number, since it uses less digits than its factorization.

98642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 98642000 is about 9931.8679008533. The cubic root of 98642000 is about 462.0482074594.

Adding to 98642000 its reverse (24689), we get a palindrome (98666689).

The spelling of 98642000 in words is "ninety-eight million, six hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 37 40 43 50 62 74 80 86 100 124 125 148 155 172 185 200 215 248 250 296 310 344 370 400 430 496 500 592 620 688 740 775 860 925 1000 1075 1147 1240 1333 1480 1550 1591 1720 1850 2000 2150 2294 2480 2666 2960 3100 3182 3440 3700 3875 4300 4588 4625 5332 5375 5735 6200 6364 6665 7400 7750 7955 8600 9176 9250 10664 10750 11470 12400 12728 13330 14800 15500 15910 17200 18352 18500 21328 21500 22940 25456 26660 28675 31000 31820 33325 37000 39775 43000 45880 49321 53320 57350 62000 63640 66650 74000 79550 86000 91760 98642 106640 114700 127280 133300 143375 159100 166625 197284 198875 229400 246605 266600 286750 318200 333250 394568 397750 458800 493210 533200 573500 636400 666500 789136 795500 986420 1147000 1233025 1333000 1591000 1972840 2294000 2466050 2666000 3182000 3945680 4932100 6165125 9864200 12330250 19728400 24660500 49321000 98642000