Search a number
-
+
66421152 = 2532747701
BaseRepresentation
bin1111110101100…
…0000110100000
311121222112200200
43331120012200
5114000434102
610331345200
71434366450
oct375300640
9147875620
1066421152
1134547216
121a2b2200
13109b7875
148b6dd60
155c7051c
hex3f581a0

66421152 has 144 divisors (see below), whose sum is σ = 220776192. Its totient is φ = 18547200.

The previous prime is 66421151. The next prime is 66421153. The reversal of 66421152 is 25112466.

66421152 is a `hidden beast` number, since 6 + 642 + 1 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (66421151) and next prime (66421153).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (66421151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94402 + ... + 95102.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 266421152 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 66421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110388096).

66421152 is an abundant number, since it is smaller than the sum of its proper divisors (154355040).

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

66421152 is a wasteful number, since it uses less digits than its factorization.

66421152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 760 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 66421152 is about 8149.9173001939. The cubic root of 66421152 is about 404.9817641538.

The spelling of 66421152 in words is "sixty-six million, four hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 701 752 846 987 1008 1128 1316 1402 1504 1692 1974 2016 2103 2256 2632 2804 2961 3384 3948 4206 4512 4907 5264 5608 5922 6309 6768 7896 8412 9814 10528 11216 11844 12618 13536 14721 15792 16824 19628 22432 23688 25236 29442 31584 32947 33648 39256 44163 47376 50472 58884 65894 67296 78512 88326 94752 98841 100944 117768 131788 157024 176652 197682 201888 230629 235536 263576 296523 353304 395364 461258 471072 527152 593046 691887 706608 790728 922516 1054304 1186092 1383774 1413216 1581456 1845032 2075661 2372184 2767548 3162912 3690064 4151322 4744368 5535096 7380128 8302644 9488736 11070192 16605288 22140384 33210576 66421152