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66715242 = 23111797613
BaseRepresentation
bin1111111001111…
…1111001101010
311122112111002220
43332133321222
5114034341432
610341534510
71440033036
oct376377152
9148474086
1066715242
1134728170
121a414436
1310a8b699
148c091c6
155ccc72c
hex3f9fe6a

66715242 has 64 divisors (see below), whose sum is σ = 155965824. Its totient is φ = 18800640.

The previous prime is 66715237. The next prime is 66715277. The reversal of 66715242 is 24251766.

It is a super-3 number, since 3×667152423 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108528 + ... + 109140.

It is an arithmetic number, because the mean of its divisors is an integer number (2436966).

Almost surely, 266715242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66715242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77982912).

66715242 is an abundant number, since it is smaller than the sum of its proper divisors (89250582).

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

66715242 is a wasteful number, since it uses less digits than its factorization.

66715242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743.

The product of its digits is 20160, while the sum is 33.

The square root of 66715242 is about 8167.9398871441. The cubic root of 66715242 is about 405.5785907921.

The spelling of 66715242 in words is "sixty-six million, seven hundred fifteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 97 102 187 194 291 374 561 582 613 1067 1122 1226 1649 1839 2134 3201 3298 3678 4947 6402 6743 9894 10421 13486 18139 20229 20842 31263 36278 40458 54417 59461 62526 108834 114631 118922 178383 229262 343893 356766 654071 687786 1010837 1308142 1962213 2021674 3032511 3924426 6065022 11119207 22238414 33357621 66715242