Search a number
-
+
30557484 = 22322333643
BaseRepresentation
bin111010010010…
…0010100101100
32010111110222200
41310210110230
530310314414
63010541500
7520506606
oct164442454
963443880
1030557484
1116281321
12a297890
13643b969
1440b6176
152a39109
hex1d2452c

30557484 has 36 divisors (see below), whose sum is σ = 77595336. Its totient is φ = 10139328.

The previous prime is 30557479. The next prime is 30557489. The reversal of 30557484 is 48475503.

30557484 is a `hidden beast` number, since 3 + 0 + 5 + 574 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (30557479) and next prime (30557489).

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

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 (30557489) 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 11 ways as a sum of consecutive naturals, for example, 6567 + ... + 10209.

It is an arithmetic number, because the mean of its divisors is an integer number (2155426).

Almost surely, 230557484 is an apocalyptic number.

It is an amenable number.

30557484 is an abundant number, since it is smaller than the sum of its proper divisors (47037852).

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

30557484 is a wasteful number, since it uses less digits than its factorization.

30557484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 30557484 is about 5527.8824155367. The cubic root of 30557484 is about 312.6361527245.

The spelling of 30557484 in words is "thirty million, five hundred fifty-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 3643 4194 7286 8388 10929 14572 21858 32787 43716 65574 131148 848819 1697638 2546457 3395276 5092914 7639371 10185828 15278742 30557484