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21485772 = 223271123337
BaseRepresentation
bin101000111110…
…1100011001100
31111102120221100
41101331203030
521000021042
62044303100
7350424510
oct121754314
944376840
1021485772
1111145640
127241a90
1345b3799
142bd4140
151d4624c
hex147d8cc

21485772 has 144 divisors (see below), whose sum is σ = 70866432. Its totient is φ = 5322240.

The previous prime is 21485771. The next prime is 21485797. The reversal of 21485772 is 27758412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21485771) 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 47 ways as a sum of consecutive naturals, for example, 63588 + ... + 63924.

It is an arithmetic number, because the mean of its divisors is an integer number (492128).

Almost surely, 221485772 is an apocalyptic number.

21485772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21485772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35433216).

21485772 is an abundant number, since it is smaller than the sum of its proper divisors (49380660).

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

21485772 is a wasteful number, since it uses less digits than its factorization.

21485772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 21485772 is about 4635.2747491384. The cubic root of 21485772 is about 278.0035366940.

The spelling of 21485772 in words is "twenty-one million, four hundred eighty-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 23 28 33 36 42 44 46 63 66 69 77 84 92 99 126 132 138 154 161 198 207 231 252 253 276 308 322 337 396 414 462 483 506 644 674 693 759 828 924 966 1011 1012 1348 1386 1449 1518 1771 1932 2022 2277 2359 2772 2898 3033 3036 3542 3707 4044 4554 4718 5313 5796 6066 7077 7084 7414 7751 9108 9436 10626 11121 12132 14154 14828 15502 15939 21231 21252 22242 23253 25949 28308 31004 31878 33363 42462 44484 46506 51898 54257 63756 66726 69759 77847 84924 85261 93012 103796 108514 133452 139518 155694 162771 170522 217028 233541 255783 279036 311388 325542 341044 467082 488313 511566 596827 651084 767349 934164 976626 1023132 1193654 1534698 1790481 1953252 2387308 3069396 3580962 5371443 7161924 10742886 21485772