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66426432 = 26319131139
BaseRepresentation
bin1111110101100…
…1011001000000
311121222210221020
43331121121000
5114001121212
610331425440
71434421032
oct375313100
9147883836
1066426432
1134550186
121a2b5280
13109ba0a7
148b71c52
155c71d8c
hex3f59640

66426432 has 112 divisors (see below), whose sum is σ = 187756800. Its totient is φ = 20666880.

The previous prime is 66426431. The next prime is 66426449. The reversal of 66426432 is 23462466.

66426432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66426393 and 66426402.

It is not an unprimeable number, because it can be changed into a prime (66426431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477819 + ... + 477957.

It is an arithmetic number, because the mean of its divisors is an integer number (1676400).

Almost surely, 266426432 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 66426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93878400).

66426432 is an abundant number, since it is smaller than the sum of its proper divisors (121330368).

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

66426432 is a wasteful number, since it uses less digits than its factorization.

66426432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 66426432 is about 8150.2412234240. The cubic root of 66426432 is about 404.9924949074.

Adding to 66426432 its reverse (23462466), we get a palindrome (89888898).

The spelling of 66426432 in words is "sixty-six million, four hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 131 139 152 192 228 262 278 304 393 417 456 524 556 608 786 834 912 1048 1112 1216 1572 1668 1824 2096 2224 2489 2641 3144 3336 3648 4192 4448 4978 5282 6288 6672 7467 7923 8384 8896 9956 10564 12576 13344 14934 15846 18209 19912 21128 25152 26688 29868 31692 36418 39824 42256 54627 59736 63384 72836 79648 84512 109254 119472 126768 145672 159296 169024 218508 238944 253536 291344 345971 437016 477888 507072 582688 691942 874032 1037913 1165376 1383884 1748064 2075826 2767768 3496128 4151652 5535536 8303304 11071072 16606608 22142144 33213216 66426432