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66925404 = 223271331659
BaseRepresentation
bin1111111101001…
…1001101011100
311122221011101200
43333103031130
5114113103104
610350235500
71441566540
oct377231534
9148834350
1066925404
1134861057
121a4b5b90
1310b33240
148c61a20
155d1eb39
hex3fd335c

66925404 has 144 divisors (see below), whose sum is σ = 215255040. Its totient is φ = 17055360.

The previous prime is 66925367. The next prime is 66925421. The reversal of 66925404 is 40452966.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101227 + ... + 101885.

Almost surely, 266925404 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 66925404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107627520).

66925404 is an abundant number, since it is smaller than the sum of its proper divisors (148329636).

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

66925404 is a wasteful number, since it uses less digits than its factorization.

66925404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 66925404 is about 8180.7948269102. The cubic root of 66925404 is about 406.0040201176.

The spelling of 66925404 in words is "sixty-six million, nine hundred twenty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 659 806 819 868 1092 1116 1209 1302 1318 1612 1638 1953 1977 2418 2604 2636 2821 3276 3627 3906 3954 4613 4836 5642 5931 7254 7812 7908 8463 8567 9226 11284 11862 13839 14508 16926 17134 18452 20429 23724 25389 25701 27678 33852 34268 40858 41517 50778 51402 55356 59969 61287 77103 81716 83034 101556 102804 119938 122574 143003 154206 166068 179907 183861 239876 245148 265577 286006 308412 359814 367722 429009 531154 539721 572012 719628 735444 796731 858018 1062308 1079442 1287027 1593462 1716036 1859039 2158884 2390193 2574054 3186924 3718078 4780386 5148108 5577117 7436156 9560772 11154234 16731351 22308468 33462702 66925404