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30252416 = 271271861
BaseRepresentation
bin111001101100…
…1110110000000
32002220222111212
41303121312000
530221034131
63000225252
7515066315
oct163316600
962828455
1030252416
11160930a7
12a16b228
136362b4c
144036d0c
1529c8a2b
hex1cd9d80

30252416 has 32 divisors (see below), whose sum is σ = 60775680. Its totient is φ = 14999040.

The previous prime is 30252413. The next prime is 30252433. The reversal of 30252416 is 61425203.

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

It is a junction number, because it is equal to n+sod(n) for n = 30252391 and 30252400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30252413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15326 + ... + 17186.

It is an arithmetic number, because the mean of its divisors is an integer number (1899240).

Almost surely, 230252416 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 30252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30387840).

30252416 is an abundant number, since it is smaller than the sum of its proper divisors (30523264).

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

30252416 is a wasteful number, since it uses less digits than its factorization.

30252416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 30252416 is about 5500.2196319783. The cubic root of 30252416 is about 311.5922791702.

Adding to 30252416 its reverse (61425203), we get a palindrome (91677619).

The spelling of 30252416 in words is "thirty million, two hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 127 128 254 508 1016 1861 2032 3722 4064 7444 8128 14888 16256 29776 59552 119104 236347 238208 472694 945388 1890776 3781552 7563104 15126208 30252416