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99555872 = 2513241449
BaseRepresentation
bin1011110111100…
…01101000100000
320221022221222112
411323301220200
5200441241442
613513454452
72316132233
oct573615040
9227287875
1099555872
1151218889
1229411428
1317819600
14d31741a
158b18082
hex5ef1a20

99555872 has 72 divisors (see below), whose sum is σ = 217898100. Its totient is φ = 44728320.

The previous prime is 99555857. The next prime is 99555899. The reversal of 99555872 is 27855599.

It can be written as a sum of positive squares in 6 ways, for example, as 2808976 + 96746896 = 1676^2 + 9836^2 .

It is a super-2 number, since 2×995558722 = 19822743299360768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99555872.

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 11 ways as a sum of consecutive naturals, for example, 221504 + ... + 221952.

Almost surely, 299555872 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 99555872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108949050).

99555872 is an abundant number, since it is smaller than the sum of its proper divisors (118342228).

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

99555872 is a wasteful number, since it uses less digits than its factorization.

99555872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 505 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 50.

The square root of 99555872 is about 9977.7688888849. The cubic root of 99555872 is about 463.4707103754.

The spelling of 99555872 in words is "ninety-nine million, five hundred fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 169 208 328 338 416 449 533 656 676 898 1066 1312 1352 1796 2132 2704 3592 4264 5408 5837 6929 7184 8528 11674 13858 14368 17056 18409 23348 27716 36818 46696 55432 73636 75881 93392 110864 147272 151762 186784 221728 239317 294544 303524 478634 589088 607048 957268 1214096 1914536 2428192 3111121 3829072 6222242 7658144 12444484 24888968 49777936 99555872