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66385396 = 22721141751
BaseRepresentation
bin1111110100111…
…1010111110100
311121220201122101
43331033113310
5113443313041
610330511444
71434160300
oct375172764
9147821571
1066385396
1134522370
121a295584
13109a44cc
148b60d00
155c64b31
hex3f4f5f4

66385396 has 72 divisors (see below), whose sum is σ = 151224192. Its totient is φ = 25200000.

The previous prime is 66385369. The next prime is 66385399. The reversal of 66385396 is 69358366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66385399) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88021 + ... + 88771.

It is an arithmetic number, because the mean of its divisors is an integer number (2100336).

Almost surely, 266385396 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 66385396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75612096).

66385396 is an abundant number, since it is smaller than the sum of its proper divisors (84838796).

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

66385396 is a wasteful number, since it uses less digits than its factorization.

66385396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its digits is 699840, while the sum is 46.

The square root of 66385396 is about 8147.7233630015. The cubic root of 66385396 is about 404.9090808458.

The spelling of 66385396 in words is "sixty-six million, three hundred eighty-five thousand, three hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 41 44 49 77 82 98 154 164 196 287 308 451 539 574 751 902 1078 1148 1502 1804 2009 2156 3004 3157 4018 5257 6314 8036 8261 10514 12628 16522 21028 22099 30791 33044 36799 44198 57827 61582 73598 88396 115654 123164 147196 215537 231308 338701 404789 431074 677402 809578 862148 1354804 1508759 1619156 2370907 3017518 4741814 6035036 9483628 16596349 33192698 66385396