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66071552 = 210113571
BaseRepresentation
bin1111110000001…
…0110000000000
311121022210010112
43330002300000
5113403242202
610320050452
71431412301
oct374026000
9147283115
1066071552
1134328598
121a163a28
13108c46c1
148abc7a8
155c01b52
hex3f02c00

66071552 has 44 divisors (see below), whose sum is σ = 133480776. Its totient is φ = 32686080.

The previous prime is 66071543. The next prime is 66071557. The reversal of 66071552 is 25517066.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (66071557) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115427 + ... + 115997.

It is an arithmetic number, because the mean of its divisors is an integer number (3033654).

Almost surely, 266071552 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 66071552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66740388).

66071552 is an abundant number, since it is smaller than the sum of its proper divisors (67409224).

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

66071552 is a wasteful number, since it uses less digits than its factorization.

66071552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 66071552 is about 8128.4409329219. The cubic root of 66071552 is about 404.2699891200.

The spelling of 66071552 in words is "sixty-six million, seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 571 904 1024 1142 1808 2284 3616 4568 7232 9136 14464 18272 28928 36544 57856 64523 73088 115712 129046 146176 258092 292352 516184 584704 1032368 2064736 4129472 8258944 16517888 33035776 66071552