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98055600 = 24352411993
BaseRepresentation
bin1011101100000…
…11010110110000
320211111201222220
411312003112300
5200100234400
613421401040
72300313246
oct566032660
9224451886
1098055600
1150393695
1228a09180
1317412786
14d046796
15891d7a0
hex5d835b0

98055600 has 120 divisors (see below), whose sum is σ = 321927312. Its totient is φ = 25497600.

The previous prime is 98055593. The next prime is 98055613. The reversal of 98055600 is 655089.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×980556002 = 19229801382720000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48204 + ... + 50196.

Almost surely, 298055600 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 98055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160963656).

98055600 is an abundant number, since it is smaller than the sum of its proper divisors (223871712).

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

98055600 is a wasteful number, since it uses less digits than its factorization.

98055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 98055600 is about 9902.3027624891. The cubic root of 98055600 is about 461.1308032858.

The spelling of 98055600 in words is "ninety-eight million, fifty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 150 164 200 205 240 246 300 328 400 410 492 600 615 656 820 984 1025 1200 1230 1640 1968 1993 2050 2460 3075 3280 3986 4100 4920 5979 6150 7972 8200 9840 9965 11958 12300 15944 16400 19930 23916 24600 29895 31888 39860 47832 49200 49825 59790 79720 81713 95664 99650 119580 149475 159440 163426 199300 239160 245139 298950 326852 398600 408565 478320 490278 597900 653704 797200 817130 980556 1195800 1225695 1307408 1634260 1961112 2042825 2391600 2451390 3268520 3922224 4085650 4902780 6128475 6537040 8171300 9805560 12256950 16342600 19611120 24513900 32685200 49027800 98055600