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66202542 = 2337434073
BaseRepresentation
bin1111110010001…
…0101110101110
311121120102211000
43330202232232
5113421440132
610322541130
71432466220
oct374425656
9147512730
1066202542
1134407a4a
121a2077a6
131093c203
148b14410
155c2a87c
hex3f22bae

66202542 has 64 divisors (see below), whose sum is σ = 172085760. Its totient is φ = 18470592.

The previous prime is 66202537. The next prime is 66202559. The reversal of 66202542 is 24520266.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14218 + ... + 18290.

It is an arithmetic number, because the mean of its divisors is an integer number (2688840).

Almost surely, 266202542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66202542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86042880).

66202542 is an abundant number, since it is smaller than the sum of its proper divisors (105883218).

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

66202542 is a wasteful number, since it uses less digits than its factorization.

66202542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 66202542 is about 8136.4944540017. The cubic root of 66202542 is about 404.5369742661.

The spelling of 66202542 in words is "sixty-six million, two hundred two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 387 602 774 903 1161 1806 2322 2709 4073 5418 8127 8146 12219 16254 24438 28511 36657 57022 73314 85533 109971 171066 175139 219942 256599 350278 513198 525417 769797 1050834 1225973 1539594 1576251 2451946 3152502 3677919 4728753 7355838 9457506 11033757 22067514 33101271 66202542