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98141472 = 253211132383
BaseRepresentation
bin1011101100110…
…00010100100000
320211200002210100
411312120110200
5200111011342
613423302400
72301121512
oct566302440
9224602710
1098141472
1150442160
1228a4aa00
13174428a0
14d069bb2
158938e4c
hex5d98520

98141472 has 144 divisors (see below), whose sum is σ = 328019328. Its totient is φ = 27440640.

The previous prime is 98141471. The next prime is 98141503. The reversal of 98141472 is 27414189.

It is a tau number, because it is divible by the number of its divisors (144).

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 not an unprimeable number, because it can be changed into a prime (98141471) 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 23 ways as a sum of consecutive naturals, for example, 39993 + ... + 42375.

It is an arithmetic number, because the mean of its divisors is an integer number (2277912).

Almost surely, 298141472 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 98141472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164009664).

98141472 is an abundant number, since it is smaller than the sum of its proper divisors (229877856).

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

98141472 is a wasteful number, since it uses less digits than its factorization.

98141472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2412 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 98141472 is about 9906.6377747448. The cubic root of 98141472 is about 461.2653754762.

The spelling of 98141472 in words is "ninety-eight million, one hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2383 2574 3168 3432 3744 4576 4766 5148 6864 7149 9532 10296 13728 14298 19064 20592 21447 26213 28596 30979 38128 41184 42894 52426 57192 61958 76256 78639 85788 92937 104852 114384 123916 157278 171576 185874 209704 228768 235917 247832 278811 314556 340769 343152 371748 419408 471834 495664 557622 629112 681538 686304 743496 838816 943668 991328 1022307 1115244 1258224 1363076 1486992 1887336 2044614 2230488 2516448 2726152 2973984 3066921 3774672 4089228 4460976 5452304 6133842 7549344 8178456 8921952 10904608 12267684 16356912 24535368 32713824 49070736 98141472