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66470352 = 24313372879
BaseRepresentation
bin1111110110010…
…0000111010000
311122002001011220
43331210013100
5114004022402
610332405040
71434663054
oct375440720
9148061156
1066470352
1134580183
121a316780
1310a04090
148b83c64
155c7edbc
hex3f641d0

66470352 has 80 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 19892736.

The previous prime is 66470347. The next prime is 66470353. The reversal of 66470352 is 25307466.

66470352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66470353) 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, 21649 + ... + 24527.

It is an arithmetic number, because the mean of its divisors is an integer number (2374848).

Almost surely, 266470352 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 66470352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

66470352 is an abundant number, since it is smaller than the sum of its proper divisors (123517488).

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

66470352 is a wasteful number, since it uses less digits than its factorization.

66470352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 66470352 is about 8152.9351769777. The cubic root of 66470352 is about 405.0817332375.

The spelling of 66470352 in words is "sixty-six million, four hundred seventy thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2879 2886 3848 5758 5772 7696 8637 11516 11544 17274 23032 23088 34548 37427 46064 69096 74854 106523 112281 138192 149708 213046 224562 299416 319569 426092 449124 598832 639138 852184 898248 1278276 1384799 1704368 1796496 2556552 2769598 4154397 5113104 5539196 8308794 11078392 16617588 22156784 33235176 66470352