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30058452 = 2234113821
BaseRepresentation
bin111001010101…
…0011111010100
32002120010110000
41302222133110
530143332302
62552131300
7513330654
oct162523724
962503400
1030058452
1115a703a6
12a096b30
1362c5788
143dc6364
15298b31c
hex1caa7d4

30058452 has 60 divisors (see below), whose sum is σ = 79370676. Its totient is φ = 9918720.

The previous prime is 30058439. The next prime is 30058459. The reversal of 30058452 is 25485003.

30058452 is a `hidden beast` number, since 30 + 0 + 584 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 26687556 = 1836^2 + 5166^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30058459) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36202 + ... + 37022.

Almost surely, 230058452 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 30058452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39685338).

30058452 is an abundant number, since it is smaller than the sum of its proper divisors (49312224).

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

30058452 is a wasteful number, since it uses less digits than its factorization.

30058452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 939 counting only the distinct ones).

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

The square root of 30058452 is about 5482.5588916126. The cubic root of 30058452 is about 310.9249240657.

The spelling of 30058452 in words is "thirty million, fifty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 324 339 452 678 821 1017 1356 1642 2034 2463 3051 3284 4068 4926 6102 7389 9153 9852 12204 14778 18306 22167 29556 36612 44334 66501 88668 92773 133002 185546 266004 278319 371092 556638 834957 1113276 1669914 2504871 3339828 5009742 7514613 10019484 15029226 30058452