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66402272 = 2517373299
BaseRepresentation
bin1111110101001…
…1011111100000
311121221120210102
43331103133200
5113444333042
610331121532
71434260426
oct375233740
9147846712
1066402272
1134534012
121a2a32a8
13109ac0b1
148b67116
155c69b32
hex3f537e0

66402272 has 48 divisors (see below), whose sum is σ = 142203600. Its totient is φ = 30394368.

The previous prime is 66402251. The next prime is 66402319. The reversal of 66402272 is 27220466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18479 + ... + 21777.

It is an arithmetic number, because the mean of its divisors is an integer number (2962575).

Almost surely, 266402272 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 66402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71101800).

66402272 is an abundant number, since it is smaller than the sum of its proper divisors (75801328).

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

66402272 is a wasteful number, since it uses less digits than its factorization.

66402272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 66402272 is about 8148.7589239098. The cubic root of 66402272 is about 404.9433889272.

The spelling of 66402272 in words is "sixty-six million, four hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 1184 1258 2516 3299 5032 6598 10064 13196 20128 26392 52784 56083 105568 112166 122063 224332 244126 448664 488252 897328 976504 1794656 1953008 2075071 3906016 4150142 8300284 16600568 33201136 66402272