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98042112 = 283276079
BaseRepresentation
bin1011101100000…
…00000100000000
320211111001111100
411312000010000
5200044321422
613421214400
72300226030
oct566000400
9224431440
1098042112
1150384543
1228a01400
13174095ac
14d0418c0
1589197ac
hex5d80100

98042112 has 108 divisors (see below), whose sum is σ = 323115520. Its totient is φ = 28007424.

The previous prime is 98042083. The next prime is 98042143. The reversal of 98042112 is 21124089.

It is a super-2 number, since 2×980421122 = 19224511450841088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13089 + ... + 19167.

Almost surely, 298042112 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 98042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161557760).

98042112 is an abundant number, since it is smaller than the sum of its proper divisors (225073408).

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

98042112 is a wasteful number, since it uses less digits than its factorization.

98042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6091 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 98042112 is about 9901.6216853604. The cubic root of 98042112 is about 461.1096587601.

The spelling of 98042112 in words is "ninety-eight million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 6079 8064 12158 16128 18237 24316 36474 42553 48632 54711 72948 85106 97264 109422 127659 145896 170212 194528 218844 255318 291792 340424 382977 389056 437688 510636 583584 680848 765954 778112 875376 1021272 1167168 1361696 1531908 1556224 1750752 2042544 2334336 2723392 3063816 3501504 4085088 4668672 5446784 6127632 7003008 8170176 10893568 12255264 14006016 16340352 24510528 32680704 49021056 98042112