Search a number
-
+
99572112 = 2433832777
BaseRepresentation
bin1011110111101…
…01100110010000
320221100210021000
411323311212100
5200442301422
613514102000
72316230463
oct573654620
9227323230
1099572112
115122a002
122941a900
1317823b13
14d31d2da
158b1ccac
hex5ef5990

99572112 has 80 divisors (see below), whose sum is σ = 289356480. Its totient is φ = 32779008.

The previous prime is 99572089. The next prime is 99572113. The reversal of 99572112 is 21127599.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (99572113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34468 + ... + 37244.

It is an arithmetic number, because the mean of its divisors is an integer number (3616956).

Almost surely, 299572112 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 99572112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144678240).

99572112 is an abundant number, since it is smaller than the sum of its proper divisors (189784368).

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

99572112 is a wasteful number, since it uses less digits than its factorization.

99572112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2865 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 99572112 is about 9978.5826648878. The cubic root of 99572112 is about 463.4959101450.

The spelling of 99572112 in words is "ninety-nine million, five hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 664 747 996 1328 1494 1992 2241 2777 2988 3984 4482 5554 5976 8331 8964 11108 11952 16662 17928 22216 24993 33324 35856 44432 49986 66648 74979 99972 133296 149958 199944 230491 299916 399888 460982 599832 691473 921964 1199664 1382946 1843928 2074419 2765892 3687856 4148838 5531784 6223257 8297676 11063568 12446514 16595352 24893028 33190704 49786056 99572112