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66642750 = 235531097
BaseRepresentation
bin1111111000111…
…0001100111110
311122101210200000
43332032030332
5114030032000
610340215130
71436311506
oct376161476
9148353600
1066642750
1134688759
121a39a4a6
1310a646a5
148bcaa06
155cb6000
hex3f8e33e

66642750 has 96 divisors (see below), whose sum is σ = 187046496. Its totient is φ = 17755200.

The previous prime is 66642731. The next prime is 66642769. The reversal of 66642750 is 5724666.

It is an interprime number because it is at equal distance from previous prime (66642731) and next prime (66642769).

It is a super-2 number, since 2×666427502 = 8882512255125000, which contains 22 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 47 ways as a sum of consecutive naturals, for example, 60202 + ... + 61298.

It is an arithmetic number, because the mean of its divisors is an integer number (1948401).

Almost surely, 266642750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66642750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93523248).

66642750 is an abundant number, since it is smaller than the sum of its proper divisors (120403746).

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

66642750 is a wasteful number, since it uses less digits than its factorization.

66642750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 66642750 is about 8163.5010871562. The cubic root of 66642750 is about 405.4316385727.

The spelling of 66642750 in words is "sixty-six million, six hundred forty-two thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 243 250 270 375 405 450 486 675 750 810 1097 1125 1215 1350 2025 2194 2250 2430 3291 3375 4050 5485 6075 6582 6750 9873 10125 10970 12150 16455 19746 20250 27425 29619 30375 32910 49365 54850 59238 60750 82275 88857 98730 137125 148095 164550 177714 246825 266571 274250 296190 411375 444285 493650 533142 740475 822750 888570 1234125 1332855 1480950 2221425 2468250 2665710 3702375 4442850 6664275 7404750 11107125 13328550 22214250 33321375 66642750