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66664272 = 2432983577
BaseRepresentation
bin1111111001001…
…1011101010000
311122102220012010
43332103131100
5114031224042
610340502520
71436431323
oct376233520
9148386163
1066664272
11346a2944
121a3aaa40
1310a7141c
148bd47ba
155cbc59c
hex3f93750

66664272 has 80 divisors (see below), whose sum is σ = 180613440. Its totient is φ = 21159936.

The previous prime is 66664271. The next prime is 66664307. The reversal of 66664272 is 27246666.

It is a super-2 number, since 2×666642722 = 8888250322579968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66664272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66664271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115248 + ... + 115824.

It is an arithmetic number, because the mean of its divisors is an integer number (2257668).

Almost surely, 266664272 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 66664272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90306720).

66664272 is an abundant number, since it is smaller than the sum of its proper divisors (113949168).

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

66664272 is a wasteful number, since it uses less digits than its factorization.

66664272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 694 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 66664272 is about 8164.8191651744. The cubic root of 66664272 is about 405.4752780313.

The spelling of 66664272 in words is "sixty-six million, six hundred sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 83 87 116 166 174 232 249 332 348 464 498 577 664 696 996 1154 1328 1392 1731 1992 2308 2407 3462 3984 4616 4814 6924 7221 9232 9628 13848 14442 16733 19256 27696 28884 33466 38512 47891 50199 57768 66932 95782 100398 115536 133864 143673 191564 200796 267728 287346 383128 401592 574692 766256 803184 1149384 1388839 2298768 2777678 4166517 5555356 8333034 11110712 16666068 22221424 33332136 66664272