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66707442 = 2331979823
BaseRepresentation
bin1111111001110…
…1111111110010
311122112002102000
43332131333302
5114034114232
610341434430
71440001224
oct376357762
9148462360
1066707442
113472231a
121a40ba16
1310a87c79
148c06414
155cca27c
hex3f9dff2

66707442 has 64 divisors (see below), whose sum is σ = 158208000. Its totient is φ = 20773584.

The previous prime is 66707441. The next prime is 66707447. The reversal of 66707442 is 24470766.

It is a junction number, because it is equal to n+sod(n) for n = 66707397 and 66707406.

It is not an unprimeable number, because it can be changed into a prime (66707441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80643 + ... + 81465.

It is an arithmetic number, because the mean of its divisors is an integer number (2472000).

Almost surely, 266707442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66707442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79104000).

66707442 is an abundant number, since it is smaller than the sum of its proper divisors (91500558).

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

66707442 is a wasteful number, since it uses less digits than its factorization.

66707442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 66707442 is about 8167.4623966077. The cubic root of 66707442 is about 405.5627841278.

The spelling of 66707442 in words is "sixty-six million, seven hundred seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 79 114 158 171 237 342 474 513 711 823 1026 1422 1501 1646 2133 2469 3002 4266 4503 4938 7407 9006 13509 14814 15637 22221 27018 31274 40527 44442 46911 65017 81054 93822 130034 140733 195051 281466 390102 422199 585153 844398 1170306 1235323 1755459 2470646 3510918 3705969 7411938 11117907 22235814 33353721 66707442