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66407796 = 223371329233
BaseRepresentation
bin1111110101010…
…0110101110100
311121221212101000
43331110311310
5114000022141
610331203300
71434312510
oct375246564
9147855330
1066407796
1134538184
121a2a6530
13109b1770
148b69140
155c6b5b6
hex3f54d74

66407796 has 192 divisors, whose sum is σ = 220147200. Its totient is φ = 16837632.

The previous prime is 66407779. The next prime is 66407813. The reversal of 66407796 is 69770466.

It is an interprime number because it is at equal distance from previous prime (66407779) and next prime (66407813).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284896 + ... + 285128.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 266407796 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 66407796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

66407796 is an abundant number, since it is smaller than the sum of its proper divisors (153739404).

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

66407796 is a wasteful number, since it uses less digits than its factorization.

66407796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 66407796 is about 8149.0978641810. The cubic root of 66407796 is about 404.9546176858.

The spelling of 66407796 in words is "sixty-six million, four hundred seven thousand, seven hundred ninety-six".