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21385952 = 257223593
BaseRepresentation
bin101000110010…
…1001011100000
31111020112000022
41101211023200
520433322302
62042213012
7346530500
oct121451340
944215008
1021385952
1111087645
1271b4168
13457a213
142ba9a00
151d268a2
hex14652e0

21385952 has 72 divisors (see below), whose sum is σ = 51193296. Its totient is φ = 8752128.

The previous prime is 21385951. The next prime is 21385961. The reversal of 21385952 is 25958312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21385951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35768 + ... + 36360.

It is an arithmetic number, because the mean of its divisors is an integer number (711018).

Almost surely, 221385952 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 21385952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25596648).

21385952 is an abundant number, since it is smaller than the sum of its proper divisors (29807344).

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

21385952 is a wasteful number, since it uses less digits than its factorization.

21385952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 625 counting only the distinct ones).

The product of its digits is 21600, while the sum is 35.

The square root of 21385952 is about 4624.4947832169. The cubic root of 21385952 is about 277.5723459346.

The spelling of 21385952 in words is "twenty-one million, three hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 593 644 736 784 1127 1186 1288 1568 2254 2372 2576 4151 4508 4744 5152 8302 9016 9488 13639 16604 18032 18976 27278 29057 33208 36064 54556 58114 66416 95473 109112 116228 132832 190946 218224 232456 381892 436448 464912 668311 763784 929824 1336622 1527568 2673244 3055136 5346488 10692976 21385952