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99471232 = 277195843
BaseRepresentation
bin1011110110111…
…00111110000000
320221011122212201
411323130332000
5200431034412
613512002544
72315330410
oct573347600
9227148781
1099471232
1151170233
1229390454
13177b9c23
14d2d4640
158aece57
hex5edcf80

99471232 has 64 divisors (see below), whose sum is σ = 238435200. Its totient is φ = 40379904.

The previous prime is 99471221. The next prime is 99471241. The reversal of 99471232 is 23217499.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×994712324 (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99471191 and 99471200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14103 + ... + 19945.

It is an arithmetic number, because the mean of its divisors is an integer number (3725550).

Almost surely, 299471232 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 99471232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119217600).

99471232 is an abundant number, since it is smaller than the sum of its proper divisors (138963968).

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

99471232 is a wasteful number, since it uses less digits than its factorization.

99471232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883 (or 5871 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 99471232 is about 9973.5265578430. The cubic root of 99471232 is about 463.3393292647.

The spelling of 99471232 in words is "ninety-nine million, four hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 5843 8512 11686 17024 23372 40901 46744 81802 93488 111017 163604 186976 222034 327208 373952 444068 654416 747904 777119 888136 1308832 1554238 1776272 2617664 3108476 3552544 5235328 6216952 7105088 12433904 14210176 24867808 49735616 99471232