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66625344 = 26321031123
BaseRepresentation
bin1111111000100…
…1111101000000
311122100220210100
43332021331000
5114024002334
610340002400
71436206662
oct376117500
9148326710
1066625344
1134676675
121a390400
1310a597a6
148bc4532
155cb0c99
hex3f89f40

66625344 has 84 divisors (see below), whose sum is σ = 192995296. Its totient is φ = 21973248.

The previous prime is 66625331. The next prime is 66625373. The reversal of 66625344 is 44352666.

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

It is a junction number, because it is equal to n+sod(n) for n = 66625299 and 66625308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58767 + ... + 59889.

Almost surely, 266625344 is an apocalyptic number.

66625344 is a gapful number since it is divisible by the number (64) 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 66625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96497648).

66625344 is an abundant number, since it is smaller than the sum of its proper divisors (126369952).

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

66625344 is a wasteful number, since it uses less digits than its factorization.

66625344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1231 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 66625344 is about 8162.4349308279. The cubic root of 66625344 is about 405.3963381208.

The spelling of 66625344 in words is "sixty-six million, six hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 144 192 206 288 309 412 576 618 824 927 1123 1236 1648 1854 2246 2472 3296 3369 3708 4492 4944 6592 6738 7416 8984 9888 10107 13476 14832 17968 19776 20214 26952 29664 35936 40428 53904 59328 71872 80856 107808 115669 161712 215616 231338 323424 347007 462676 646848 694014 925352 1041021 1388028 1850704 2082042 2776056 3701408 4164084 5552112 7402816 8328168 11104224 16656336 22208448 33312672 66625344