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99741888 = 2633197293
BaseRepresentation
bin1011111000111…
…11000011000000
320221200102011000
411330133003000
5201013220023
613521452000
72320535451
oct574370300
9227612130
1099741888
1151335614
12294a1000
131788318c
14d365128
158b53243
hex5f1f0c0

99741888 has 112 divisors (see below), whose sum is σ = 295716960. Its totient is φ = 32965632.

The previous prime is 99741881. The next prime is 99741923. The reversal of 99741888 is 88814799.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (99741881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 340270 + ... + 340562.

It is an arithmetic number, because the mean of its divisors is an integer number (2640330).

Almost surely, 299741888 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 99741888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147858480).

99741888 is an abundant number, since it is smaller than the sum of its proper divisors (195975072).

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

99741888 is a wasteful number, since it uses less digits than its factorization.

99741888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 495 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 99741888 is about 9987.0860615096. The cubic root of 99741888 is about 463.7591893520.

The spelling of 99741888 in words is "ninety-nine million, seven hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 197 216 288 293 394 432 576 586 591 788 864 879 1172 1182 1576 1728 1758 1773 2344 2364 2637 3152 3516 3546 4688 4728 5274 5319 6304 7032 7092 7911 9376 9456 10548 10638 12608 14064 14184 15822 18752 18912 21096 21276 28128 28368 31644 37824 42192 42552 56256 56736 57721 63288 84384 85104 113472 115442 126576 168768 170208 173163 230884 253152 340416 346326 461768 506304 519489 692652 923536 1038978 1385304 1558467 1847072 2077956 2770608 3116934 3694144 4155912 5541216 6233868 8311824 11082432 12467736 16623648 24935472 33247296 49870944 99741888