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98910912 = 263737057
BaseRepresentation
bin1011110010101…
…00001011000000
320220010012021010
411321110023000
5200310122122
613452000520
72310505002
oct571241300
9226105233
1098910912
1150918261
1229160140
1317651b89
14d1ca372
158a3be0c
hex5e542c0

98910912 has 56 divisors (see below), whose sum is σ = 265324336. Its totient is φ = 32514048.

The previous prime is 98910887. The next prime is 98910919. The reversal of 98910912 is 21901989.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (98910919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10488 + ... + 17544.

Almost surely, 298910912 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 98910912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132662168).

98910912 is an abundant number, since it is smaller than the sum of its proper divisors (166413424).

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

98910912 is a wasteful number, since it uses less digits than its factorization.

98910912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7145 (or 7135 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The square root of 98910912 is about 9945.3965230151. The cubic root of 98910912 is about 462.4676960150.

It can be divided in two parts, 989109 and 12, that added together give a triangular number (989121 = T1406).

The spelling of 98910912 in words is "ninety-eight million, nine hundred ten thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 7008 7057 14016 14114 21171 28228 42342 56456 84684 112912 169368 225824 338736 451648 515161 677472 1030322 1354944 1545483 2060644 3090966 4121288 6181932 8242576 12363864 16485152 24727728 32970304 49455456 98910912