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30584052 = 22323722961
BaseRepresentation
bin111010010101…
…0110011110100
32010112211102200
41310222303310
530312142202
63011304500
7520650222
oct164526364
963484380
1030584052
111629a284
12a2ab130
13644aa95
1440c1b12
152a41e1c
hex1d2acf4

30584052 has 36 divisors (see below), whose sum is σ = 79402596. Its totient is φ = 9918720.

The previous prime is 30584041. The next prime is 30584063. The reversal of 30584052 is 25048503.

30584052 is a `hidden beast` number, since 30 + 584 + 0 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (30584041) and next prime (30584063).

It can be written as a sum of positive squares in 2 ways, for example, as 24561936 + 6022116 = 4956^2 + 2454^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10149 + ... + 12812.

Almost surely, 230584052 is an apocalyptic number.

It is an amenable number.

30584052 is an abundant number, since it is smaller than the sum of its proper divisors (48818544).

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

30584052 is a wasteful number, since it uses less digits than its factorization.

30584052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23008 (or 23003 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 30584052 is about 5530.2849836152. The cubic root of 30584052 is about 312.7267329485.

The spelling of 30584052 in words is "thirty million, five hundred eighty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 22961 45922 68883 91844 137766 206649 275532 413298 826596 849557 1699114 2548671 3398228 5097342 7646013 10194684 15292026 30584052