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99541344 = 253733023
BaseRepresentation
bin1011110111011…
…10000101100000
320221022020001110
411323232011200
5200440310334
613513303320
72316042000
oct573560540
9227266043
1099541344
1151208981
1229404b40
1317812b06
14d312000
158b13ae9
hex5eee160

99541344 has 96 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 28430976.

The previous prime is 99541333. The next prime is 99541357. The reversal of 99541344 is 44314599.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31417 + ... + 34439.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 299541344 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 99541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

99541344 is an abundant number, since it is smaller than the sum of its proper divisors (205277856).

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

99541344 is a wasteful number, since it uses less digits than its factorization.

99541344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3035 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 99541344 is about 9977.0408438575. The cubic root of 99541344 is about 463.4481648108.

The spelling of 99541344 in words is "ninety-nine million, five hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2744 3023 4116 4704 5488 6046 8232 9069 10976 12092 16464 18138 21161 24184 32928 36276 42322 48368 63483 72552 84644 96736 126966 145104 148127 169288 253932 290208 296254 338576 444381 507864 592508 677152 888762 1015728 1036889 1185016 1777524 2031456 2073778 2370032 3110667 3555048 4147556 4740064 6221334 7110096 8295112 12442668 14220192 16590224 24885336 33180448 49770672 99541344