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30219952 = 247416581
BaseRepresentation
bin111001101000…
…1111010110000
32002212022222111
41303101322300
530214014302
62555415104
7514602550
oct163217260
962768874
1030219952
1116070774
12a154494
136351139
144029160
1529be0d7
hex1cd1eb0

30219952 has 40 divisors (see below), whose sum is σ = 68558112. Its totient is φ = 12633600.

The previous prime is 30219913. The next prime is 30219971. The reversal of 30219952 is 25991203.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1302 + ... + 7882.

Almost surely, 230219952 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 30219952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34279056).

30219952 is an abundant number, since it is smaller than the sum of its proper divisors (38338160).

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

30219952 is a wasteful number, since it uses less digits than its factorization.

30219952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6637 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 30219952 is about 5497.2676849504. The cubic root of 30219952 is about 311.4807822653.

The spelling of 30219952 in words is "thirty million, two hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4592 6581 13162 26324 46067 52648 92134 105296 184268 269821 368536 539642 737072 1079284 1888747 2158568 3777494 4317136 7554988 15109976 30219952