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66979872 = 253425841
BaseRepresentation
bin1111111110000…
…0100000100000
311200000221010000
43333200200200
5114121323442
610351340000
71442214411
oct377404040
9150027100
1066979872
1134898a73
121a521600
1310b51c7b
148c77808
155d30d4c
hex3fe0820

66979872 has 60 divisors (see below), whose sum is σ = 196993566. Its totient is φ = 22325760.

The previous prime is 66979823. The next prime is 66979873. The reversal of 66979872 is 27897966.

It can be written as a sum of positive squares in only one way, i.e., 62157456 + 4822416 = 7884^2 + 2196^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66979873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10329 + ... + 15512.

Almost surely, 266979872 is an apocalyptic number.

It is an amenable number.

66979872 is an abundant number, since it is smaller than the sum of its proper divisors (130013694).

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

66979872 is a wasteful number, since it uses less digits than its factorization.

66979872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25863 (or 25846 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 66979872 is about 8184.1231662286. The cubic root of 66979872 is about 406.1141339112.

The spelling of 66979872 in words is "sixty-six million, nine hundred seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 25841 51682 77523 103364 155046 206728 232569 310092 413456 465138 620184 697707 826912 930276 1240368 1395414 1860552 2093121 2480736 2790828 3721104 4186242 5581656 7442208 8372484 11163312 16744968 22326624 33489936 66979872