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98065152 = 2832311373
BaseRepresentation
bin1011101100001…
…01101100000000
320211112020002200
411312011230000
5200101041102
613421513200
72300353143
oct566055400
9224466080
1098065152
115039a889
1228a12800
1317416c23
14d04a05a
15892151c
hex5d85b00

98065152 has 108 divisors (see below), whose sum is σ = 292079424. Its totient is φ = 31610880.

The previous prime is 98065147. The next prime is 98065181. The reversal of 98065152 is 25156089.

It is a happy number.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 70738 + ... + 72110.

Almost surely, 298065152 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 98065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146039712).

98065152 is an abundant number, since it is smaller than the sum of its proper divisors (194014272).

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

98065152 is a wasteful number, since it uses less digits than its factorization.

98065152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 98065152 is about 9902.7850627993. The cubic root of 98065152 is about 461.1457763501.

The spelling of 98065152 in words is "ninety-eight million, sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1373 1488 1984 2232 2304 2746 2976 3968 4119 4464 5492 5952 7936 8238 8928 10984 11904 12357 16476 17856 21968 23808 24714 32952 35712 42563 43936 49428 65904 71424 85126 87872 98856 127689 131808 170252 175744 197712 255378 263616 340504 351488 383067 395424 510756 527232 681008 766134 790848 1021512 1054464 1362016 1532268 1581696 2043024 2724032 3064536 3163392 4086048 5448064 6129072 8172096 10896128 12258144 16344192 24516288 32688384 49032576 98065152