Search a number
-
+
30447972 = 2232845777
BaseRepresentation
bin111010000100…
…1100101100100
32010021220202200
41310021211210
530243313342
63004334500
7516542412
oct164114544
963256680
1030447972
1116207015
12a244430
136400b69
1440882b2
152a1694c
hex1d09964

30447972 has 18 divisors (see below), whose sum is σ = 76965798. Its totient is φ = 10149312.

The previous prime is 30447971. The next prime is 30447973. The reversal of 30447972 is 27974403.

It is an interprime number because it is at equal distance from previous prime (30447971) and next prime (30447973).

It can be written as a sum of positive squares in only one way, i.e., 29419776 + 1028196 = 5424^2 + 1014^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 845777 = 30447972 / (3 + 0 + 4 + 4 + 7 + 9 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (30447971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 422853 + ... + 422924.

Almost surely, 230447972 is an apocalyptic number.

It is an amenable number.

30447972 is an abundant number, since it is smaller than the sum of its proper divisors (46517826).

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

30447972 is a wasteful number, since it uses less digits than its factorization.

30447972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845787 (or 845782 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 30447972 is about 5517.9681042935. The cubic root of 30447972 is about 312.2622302289.

The spelling of 30447972 in words is "thirty million, four hundred forty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 845777 1691554 2537331 3383108 5074662 7611993 10149324 15223986 30447972