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98906112 = 212322683
BaseRepresentation
bin1011110010100…
…11000000000000
320220002221200100
411321103000000
5200304443422
613451522400
72310455004
oct571230000
9226087610
1098906112
1150914698
1229159400
131764c936
14d1c8704
158a3a7ac
hex5e53000

98906112 has 78 divisors (see below), whose sum is σ = 285800372. Its totient is φ = 32956416.

The previous prime is 98906107. The next prime is 98906113. The reversal of 98906112 is 21160989.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (98906113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35523 + ... + 38205.

Almost surely, 298906112 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 98906112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142900186).

98906112 is an abundant number, since it is smaller than the sum of its proper divisors (186894260).

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

98906112 is a wasteful number, since it uses less digits than its factorization.

98906112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 98906112 is about 9945.1552024089. The cubic root of 98906112 is about 462.4602149366.

The spelling of 98906112 in words is "ninety-eight million, nine hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2683 3072 4096 4608 5366 6144 8049 9216 10732 12288 16098 18432 21464 24147 32196 36864 42928 48294 64392 85856 96588 128784 171712 193176 257568 343424 386352 515136 686848 772704 1030272 1373696 1545408 2060544 2747392 3090816 4121088 5494784 6181632 8242176 10989568 12363264 16484352 24726528 32968704 49453056 98906112