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98413344 = 25323173151
BaseRepresentation
bin1011101110110…
…10101100100000
320212011220201200
411313122230200
5200143211334
613433201200
72303333241
oct567325440
9225156650
1098413344
1150608447
1228b60200
1317509563
14d0dacc8
15898e799
hex5ddab20

98413344 has 144 divisors (see below), whose sum is σ = 294787584. Its totient is φ = 31104000.

The previous prime is 98413339. The next prime is 98413373. The reversal of 98413344 is 44331489.

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 a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 98413299 and 98413308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651669 + ... + 651819.

It is an arithmetic number, because the mean of its divisors is an integer number (2047136).

Almost surely, 298413344 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 98413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147393792).

98413344 is an abundant number, since it is smaller than the sum of its proper divisors (196374240).

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

98413344 is a wasteful number, since it uses less digits than its factorization.

98413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 98413344 is about 9920.3499938258. The cubic root of 98413344 is about 461.6909159950.

The spelling of 98413344 in words is "ninety-eight million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 73 93 96 124 144 146 151 186 219 248 279 288 292 302 372 438 453 496 558 584 604 657 744 876 906 992 1116 1168 1208 1314 1359 1488 1752 1812 2232 2263 2336 2416 2628 2718 2976 3504 3624 4464 4526 4681 4832 5256 5436 6789 7008 7248 8928 9052 9362 10512 10872 11023 13578 14043 14496 18104 18724 20367 21024 21744 22046 27156 28086 33069 36208 37448 40734 42129 43488 44092 54312 56172 66138 72416 74896 81468 84258 88184 99207 108624 112344 132276 149792 162936 168516 176368 198414 217248 224688 264552 325872 337032 341713 352736 396828 449376 529104 651744 674064 683426 793656 1025139 1058208 1348128 1366852 1587312 2050278 2733704 3075417 3174624 4100556 5467408 6150834 8201112 10934816 12301668 16402224 24603336 32804448 49206672 98413344