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98855136 = 25321761331
BaseRepresentation
bin1011110010001…
…10100011100000
320220000100202100
411321012203200
5200301331021
613450450400
72310153252
oct571064340
9226010670
1098855136
115088a366
1229133a00
1317632683
14d1b3cd2
158a2a626
hex5e468e0

98855136 has 144 divisors (see below), whose sum is σ = 303449328. Its totient is φ = 30412800.

The previous prime is 98855131. The next prime is 98855137. The reversal of 98855136 is 63155889.

98855136 is a `hidden beast` number, since 98 + 8 + 551 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 98855091 and 98855100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98855131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298491 + ... + 298821.

It is an arithmetic number, because the mean of its divisors is an integer number (2107287).

Almost surely, 298855136 is an apocalyptic number.

98855136 is a gapful number since it is divisible by the number (96) 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 98855136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151724664).

98855136 is an abundant number, since it is smaller than the sum of its proper divisors (204594192).

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

98855136 is a wasteful number, since it uses less digits than its factorization.

98855136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 98855136 is about 9942.5920161696. The cubic root of 98855136 is about 462.3807509458.

The spelling of 98855136 in words is "ninety-eight million, eight hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 61 68 72 96 102 122 136 144 153 183 204 244 272 288 306 331 366 408 488 544 549 612 662 732 816 976 993 1037 1098 1224 1324 1464 1632 1952 1986 2074 2196 2448 2648 2928 2979 3111 3972 4148 4392 4896 5296 5627 5856 5958 6222 7944 8296 8784 9333 10592 11254 11916 12444 15888 16592 16881 17568 18666 20191 22508 23832 24888 31776 33184 33762 37332 40382 45016 47664 49776 50643 60573 67524 74664 80764 90032 95328 99552 101286 121146 135048 149328 161528 180064 181719 202572 242292 270096 298656 323056 343247 363438 405144 484584 540192 646112 686494 726876 810288 969168 1029741 1372988 1453752 1620576 1938336 2059482 2745976 2907504 3089223 4118964 5491952 5815008 6178446 8237928 10983904 12356892 16475856 24713784 32951712 49427568 98855136