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30432952 = 23112149211
BaseRepresentation
bin111010000010…
…1111010111000
32010021011011101
41310011322320
530242323302
63004141144
7516450544
oct164057270
963234141
1030432952
11161a6800
12a2377b4
1363c7084
144082a24
152a12287
hex1d05eb8

30432952 has 48 divisors (see below), whose sum is σ = 63441000. Its totient is φ = 13675200.

The previous prime is 30432937. The next prime is 30432959. The reversal of 30432952 is 25923403.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30432952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30432959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144127 + ... + 144337.

Almost surely, 230432952 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 30432952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31720500).

30432952 is an abundant number, since it is smaller than the sum of its proper divisors (33008048).

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

30432952 is a wasteful number, since it uses less digits than its factorization.

30432952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 30432952 is about 5516.6069281761. The cubic root of 30432952 is about 312.2108754115.

It can be divided in two parts, 3043 and 2952, that added together give a palindrome (5995).

The spelling of 30432952 in words is "thirty million, four hundred thirty-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 121 149 211 242 298 422 484 596 844 968 1192 1639 1688 2321 3278 4642 6556 9284 13112 18029 18568 25531 31439 36058 51062 62878 72116 102124 125756 144232 204248 251512 345829 691658 1383316 2766632 3804119 7608238 15216476 30432952