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899982972 = 2232727712893
BaseRepresentation
bin110101101001001…
…010011001111100
32022201110212112200
4311221022121330
53320343423342
6225145431500
731205505030
oct6551123174
92281425480
10899982972
11422020589
1221149b590
131145bba05
14877541c0
155402694c
hex35a4a67c

899982972 has 72 divisors (see below), whose sum is σ = 2609539296. Its totient is φ = 256189824.

The previous prime is 899982961. The next prime is 899982973. The reversal of 899982972 is 279289998.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (899982973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63358 + ... + 76250.

Almost surely, 2899982972 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 899982972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304769648).

899982972 is an abundant number, since it is smaller than the sum of its proper divisors (1709556324).

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

899982972 is a wasteful number, since it uses less digits than its factorization.

899982972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13187 (or 13182 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The square root of 899982972 is about 29999.7161986576. The cubic root of 899982972 is about 965.4832955475.

The spelling of 899982972 in words is "eight hundred ninety-nine million, nine hundred eighty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 277 554 831 1108 1662 1939 2493 3324 3878 4986 5817 7756 9972 11634 12893 17451 23268 25786 34902 38679 51572 69804 77358 90251 116037 154716 180502 232074 270753 361004 464148 541506 812259 1083012 1624518 3249036 3571361 7142722 10714083 14285444 21428166 24999527 32142249 42856332 49999054 64284498 74998581 99998108 128568996 149997162 224995743 299994324 449991486 899982972