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98141076 = 223211475273
BaseRepresentation
bin1011101100110…
…00001110010100
320211200002020200
411312120032110
5200111003301
613423300500
72301120405
oct566301624
9224602220
1098141076
1150441930
1228a4a730
1317442657
14d0699ac
158938c86
hex5d98394

98141076 has 72 divisors (see below), whose sum is σ = 276441984. Its totient is φ = 29101440.

The previous prime is 98141063. The next prime is 98141081. The reversal of 98141076 is 67014189.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 98141076.

It is a congruent number.

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, 15976 + ... + 21248.

It is an arithmetic number, because the mean of its divisors is an integer number (3839472).

Almost surely, 298141076 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 98141076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138220992).

98141076 is an abundant number, since it is smaller than the sum of its proper divisors (178300908).

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

98141076 is a wasteful number, since it uses less digits than its factorization.

98141076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 98141076 is about 9906.6177881253. The cubic root of 98141076 is about 461.2647550747.

The spelling of 98141076 in words is "ninety-eight million, one hundred forty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 3102 4653 5273 6204 9306 10546 15819 18612 21092 31638 47457 58003 63276 94914 116006 174009 189828 232012 247831 348018 495662 522027 696036 743493 991324 1044054 1486986 2088108 2230479 2726141 2973972 4460958 5452282 8178423 8921916 10904564 16356846 24535269 32713692 49070538 98141076