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66848852 = 2274779643
BaseRepresentation
bin1111111100000…
…0100001010100
311122210021101102
43333000201110
5114103130402
610344445232
71441130420
oct377004124
9148707342
1066848852
1134809594
121a479818
1310b07445
148c41b80
155d07102
hex3fc0854

66848852 has 48 divisors (see below), whose sum is σ = 138485760. Its totient is φ = 27641952.

The previous prime is 66848851. The next prime is 66848869. The reversal of 66848852 is 25884866.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a junction number, because it is equal to n+sod(n) for n = 66848797 and 66848806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66848851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103643 + ... + 104285.

It is an arithmetic number, because the mean of its divisors is an integer number (2885120).

Almost surely, 266848852 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 66848852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69242880).

66848852 is an abundant number, since it is smaller than the sum of its proper divisors (71636908).

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

66848852 is a wasteful number, since it uses less digits than its factorization.

66848852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 778 counting only the distinct ones).

The product of its digits is 737280, while the sum is 47.

The square root of 66848852 is about 8176.1147252225. The cubic root of 66848852 is about 405.8491597518.

The spelling of 66848852 in words is "sixty-six million, eight hundred forty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 28 47 79 94 158 188 316 329 553 643 658 1106 1286 1316 2212 2572 3713 4501 7426 9002 14852 18004 25991 30221 50797 51982 60442 101594 103964 120884 203188 211547 355579 423094 711158 846188 1422316 2387459 4774918 9549836 16712213 33424426 66848852