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21212048 = 24111373127
BaseRepresentation
bin101000011101…
…0101110010000
31110220200110102
41100322232100
520412241143
62034351532
7345204464
oct120725620
943820412
1021212048
1110a78a20
12712b5a8
134519010
142b624a4
151ce00b8
hex143ab90

21212048 has 80 divisors (see below), whose sum is σ = 49330176. Its totient is φ = 8709120.

The previous prime is 21212033. The next prime is 21212071. The reversal of 21212048 is 84021212.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 166961 + ... + 167087.

Almost surely, 221212048 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 21212048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24665088).

21212048 is an abundant number, since it is smaller than the sum of its proper divisors (28118128).

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

21212048 is a wasteful number, since it uses less digits than its factorization.

21212048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 21212048 is about 4605.6539166550. The cubic root of 21212048 is about 276.8179195857.

It can be divided in two parts, 2121204 and 8, that added together give a palindrome (2121212).

The spelling of 21212048 in words is "twenty-one million, two hundred twelve thousand, forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 73 88 104 127 143 146 176 208 254 286 292 508 572 584 803 949 1016 1144 1168 1397 1606 1651 1898 2032 2288 2794 3212 3302 3796 5588 6424 6604 7592 9271 10439 11176 12848 13208 15184 18161 18542 20878 22352 26416 36322 37084 41756 72644 74168 83512 101981 120523 145288 148336 167024 203962 241046 290576 407924 482092 815848 964184 1325753 1631696 1928368 2651506 5303012 10606024 21212048