Search a number
-
+
30382992 = 2433531327
BaseRepresentation
bin111001111100…
…1101110010000
32010011121122000
41303321232100
530234223432
63003114000
7516152103
oct163715620
963147560
1030382992
1116172212
12a212900
1363aa403
14406c73a
152a0257c
hex1cf9b90

30382992 has 80 divisors (see below), whose sum is σ = 88922880. Its totient is φ = 9929088.

The previous prime is 30382991. The next prime is 30382993. The reversal of 30382992 is 29928303.

It is an interprime number because it is at equal distance from previous prime (30382991) and next prime (30382993).

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 (30382991) 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, 22233 + ... + 23559.

It is an arithmetic number, because the mean of its divisors is an integer number (1111536).

Almost surely, 230382992 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 30382992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44461440).

30382992 is an abundant number, since it is smaller than the sum of its proper divisors (58539888).

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

30382992 is a wasteful number, since it uses less digits than its factorization.

30382992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 30382992 is about 5512.0769225402. The cubic root of 30382992 is about 312.0399357164.

The spelling of 30382992 in words is "thirty million, three hundred eighty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1327 1431 1908 2544 2654 2862 3816 3981 5308 5724 7632 7962 10616 11448 11943 15924 21232 22896 23886 31848 35829 47772 63696 70331 71658 95544 140662 143316 191088 210993 281324 286632 421986 562648 573264 632979 843972 1125296 1265958 1687944 1898937 2531916 3375888 3797874 5063832 7595748 10127664 15191496 30382992