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25472664 = 2333717991
BaseRepresentation
bin110000100101…
…0111010011000
31202221010221000
41201022322120
523010111124
62305545000
7426341220
oct141127230
952833830
1025472664
1113418a98
128645160
13537b3a9
143551080
1523826c9
hex184ae98

25472664 has 128 divisors (see below), whose sum is σ = 85708800. Its totient is φ = 6842880.

The previous prime is 25472653. The next prime is 25472717. The reversal of 25472664 is 46627452.

It is a super-2 number, since 2×254726642 = 1297713222513792, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25209 + ... + 26199.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 225472664 is an apocalyptic number.

25472664 is a gapful number since it is divisible by the number (24) 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 25472664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42854400).

25472664 is an abundant number, since it is smaller than the sum of its proper divisors (60236136).

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

25472664 is a wasteful number, since it uses less digits than its factorization.

25472664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1020 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 25472664 is about 5047.0450760816. The cubic root of 25472664 is about 294.2330513649.

The spelling of 25472664 in words is "twenty-five million, four hundred seventy-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 991 1071 1224 1428 1512 1836 1982 2142 2856 2973 3213 3672 3964 4284 5946 6426 6937 7928 8568 8919 11892 12852 13874 16847 17838 20811 23784 25704 26757 27748 33694 35676 41622 50541 53514 55496 62433 67388 71352 83244 101082 107028 117929 124866 134776 151623 166488 187299 202164 214056 235858 249732 303246 353787 374598 404328 454869 471716 499464 606492 707574 749196 909738 943432 1061361 1212984 1415148 1498392 1819476 2122722 2830296 3184083 3638952 4245444 6368166 8490888 12736332 25472664