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21425008 = 24111943149
BaseRepresentation
bin101000110111…
…0101101110000
31111022111120211
41101232231300
520441100013
62043113504
7350052403
oct121565560
944274524
1021425008
1111103a20
127212894
134591c27
142bb9d3a
151d3323d
hex146eb70

21425008 has 80 divisors (see below), whose sum is σ = 49104000. Its totient is φ = 8951040.

The previous prime is 21425003. The next prime is 21425009. The reversal of 21425008 is 80052412.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a self number, because there is not a number n which added to its sum of digits gives 21425008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21425003) 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 15 ways as a sum of consecutive naturals, for example, 143718 + ... + 143866.

It is an arithmetic number, because the mean of its divisors is an integer number (613800).

Almost surely, 221425008 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 21425008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24552000).

21425008 is an abundant number, since it is smaller than the sum of its proper divisors (27678992).

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

21425008 is a wasteful number, since it uses less digits than its factorization.

21425008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 21425008 is about 4628.7155885839. The cubic root of 21425008 is about 277.7412149328.

The spelling of 21425008 in words is "twenty-one million, four hundred twenty-five thousand, eight".

Divisors: 1 2 4 8 11 16 19 22 38 43 44 76 86 88 149 152 172 176 209 298 304 344 418 473 596 688 817 836 946 1192 1634 1639 1672 1892 2384 2831 3268 3278 3344 3784 5662 6407 6536 6556 7568 8987 11324 12814 13072 13112 17974 22648 25628 26224 31141 35948 45296 51256 62282 70477 71896 102512 121733 124564 140954 143792 243466 249128 281908 486932 498256 563816 973864 1127632 1339063 1947728 2678126 5356252 10712504 21425008