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66978252 = 22341118793
BaseRepresentation
bin1111111110000…
…0000111001100
311200000211220000
43333200013030
5114121301002
610351324300
71442206605
oct377400714
9150024800
1066978252
1134897830
121a520690
1310b51303
148c76dac
155d3061c
hex3fe01cc

66978252 has 60 divisors (see below), whose sum is σ = 191022216. Its totient is φ = 20295360.

The previous prime is 66978217. The next prime is 66978269. The reversal of 66978252 is 25287966.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 66978198 and 66978207.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5833 + ... + 12960.

Almost surely, 266978252 is an apocalyptic number.

It is an amenable number.

66978252 is an abundant number, since it is smaller than the sum of its proper divisors (124043964).

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

66978252 is a wasteful number, since it uses less digits than its factorization.

66978252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18820 (or 18809 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 66978252 is about 8184.0241935126. The cubic root of 66978252 is about 406.1108597425.

The spelling of 66978252 in words is "sixty-six million, nine hundred seventy-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 18793 37586 56379 75172 112758 169137 206723 225516 338274 413446 507411 620169 676548 826892 1014822 1240338 1522233 1860507 2029644 2480676 3044466 3721014 5581521 6088932 7442028 11163042 16744563 22326084 33489126 66978252