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66976352 = 2583151167
BaseRepresentation
bin1111111101111…
…1101001100000
311200000202021122
43333133221200
5114121220402
610351311412
71442201222
oct377375140
9150022248
1066976352
1134896363
121a51b568
1310b504a1
148c76412
155d2eca2
hex3fdfa60

66976352 has 48 divisors (see below), whose sum is σ = 135136512. Its totient is φ = 32668800.

The previous prime is 66976333. The next prime is 66976361. The reversal of 66976352 is 25367966.

It is a super-3 number, since 3×669763523 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400973 + ... + 401139.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344).

Almost surely, 266976352 is an apocalyptic number.

It is an amenable number.

66976352 is an abundant number, since it is smaller than the sum of its proper divisors (68160160).

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

66976352 is a wasteful number, since it uses less digits than its factorization.

66976352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its digits is 408240, while the sum is 44.

The square root of 66976352 is about 8183.9081128761. The cubic root of 66976352 is about 406.1070196009.

The spelling of 66976352 in words is "sixty-six million, nine hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 83 151 166 167 302 332 334 604 664 668 1208 1328 1336 2416 2656 2672 4832 5344 12533 13861 25066 25217 27722 50132 50434 55444 100264 100868 110888 200528 201736 221776 401056 403472 443552 806944 2093011 4186022 8372044 16744088 33488176 66976352