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30381952 = 27972447
BaseRepresentation
bin111001111100…
…1011110000000
32010011120012111
41303321132000
530234210302
63003105104
7516146056
oct163713600
963146174
1030381952
1116171457
12a212194
1363a9ab3
14406c1d6
152a020d7
hex1cf9780

30381952 has 32 divisors (see below), whose sum is σ = 61175520. Its totient is φ = 15028224.

The previous prime is 30381947. The next prime is 30381959. The reversal of 30381952 is 25918303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×303819523 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30381959) 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 3 ways as a sum of consecutive naturals, for example, 11193 + ... + 13639.

It is an arithmetic number, because the mean of its divisors is an integer number (1911735).

Almost surely, 230381952 is an apocalyptic number.

30381952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30381952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30587760).

30381952 is an abundant number, since it is smaller than the sum of its proper divisors (30793568).

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

30381952 is an equidigital number, since it uses as much as digits as its factorization.

30381952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 30381952 is about 5511.9825834268. The cubic root of 30381952 is about 312.0363753338.

The spelling of 30381952 in words is "thirty million, three hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 2447 3104 4894 6208 9788 12416 19576 39152 78304 156608 237359 313216 474718 949436 1898872 3797744 7595488 15190976 30381952