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67385552 = 24131721959
BaseRepresentation
bin1000000010000…
…11100011010000
311200210112121012
410001003203100
5114222314202
610404150052
71445524223
oct401034320
9150715535
1067385552
1135045843
121a698328
1310c64810
148d415ba
155db1152
hex40438d0

67385552 has 120 divisors (see below), whose sum is σ = 159885600. Its totient is φ = 27260928.

The previous prime is 67385551. The next prime is 67385567. The reversal of 67385552 is 25558376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67385551) 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, 1142099 + ... + 1142157.

It is an arithmetic number, because the mean of its divisors is an integer number (1332380).

Almost surely, 267385552 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 67385552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79942800).

67385552 is an abundant number, since it is smaller than the sum of its proper divisors (92500048).

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

67385552 is a wasteful number, since it uses less digits than its factorization.

67385552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its digits is 252000, while the sum is 41.

The square root of 67385552 is about 8208.8703242285. The cubic root of 67385552 is about 406.9323940373.

The spelling of 67385552 in words is "sixty-seven million, three hundred eighty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 19 26 34 38 52 59 68 76 104 118 136 152 208 221 236 247 272 289 304 323 442 472 494 578 646 767 884 944 988 1003 1121 1156 1292 1534 1768 1976 2006 2242 2312 2584 3068 3536 3757 3952 4012 4199 4484 4624 5168 5491 6136 7514 8024 8398 8968 10982 12272 13039 14573 15028 16048 16796 17051 17936 19057 21964 26078 29146 30056 33592 34102 38114 43928 52156 58292 60112 67184 68204 71383 76228 87856 104312 116584 136408 142766 152456 208624 221663 233168 247741 272816 285532 304912 323969 443326 495482 571064 647938 886652 990964 1142128 1295876 1773304 1981928 2591752 3546608 3963856 4211597 5183504 8423194 16846388 33692776 67385552