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66032296 = 23111973541
BaseRepresentation
bin1111101111100…
…1001010101000
311121020210021121
43323321022220
5113401013141
610315145024
71431156661
oct373711250
9147223247
1066032296
1134301050
121a145174
13108ac885
148aac368
155be51d1
hex3ef92a8

66032296 has 64 divisors (see below), whose sum is σ = 144388800. Its totient is φ = 27993600.

The previous prime is 66032293. The next prime is 66032299. The reversal of 66032296 is 69223066.

It is an interprime number because it is at equal distance from previous prime (66032293) and next prime (66032299).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (66032293) 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, 121786 + ... + 122326.

It is an arithmetic number, because the mean of its divisors is an integer number (2256075).

Almost surely, 266032296 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 66032296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72194400).

66032296 is an abundant number, since it is smaller than the sum of its proper divisors (78356504).

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

66032296 is a wasteful number, since it uses less digits than its factorization.

66032296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 66032296 is about 8126.0258429321. The cubic root of 66032296 is about 404.1899084283.

The spelling of 66032296 in words is "sixty-six million, thirty-two thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 19 22 38 44 73 76 88 146 152 209 292 418 541 584 803 836 1082 1387 1606 1672 2164 2774 3212 4328 5548 5951 6424 10279 11096 11902 15257 20558 23804 30514 39493 41116 47608 61028 78986 82232 113069 122056 157972 226138 315944 434423 452276 750367 868846 904552 1500734 1737692 3001468 3475384 6002936 8254037 16508074 33016148 66032296