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470074668 = 223719313941
BaseRepresentation
bin11100000001001…
…100010100101100
31012202112021012220
4130001030110230
51430314342133
6114351155340
714435366040
oct3401142454
91182467186
10470074668
11221388068
12111515b50
13765080bb
1446606020
152b4065b3
hex1c04c52c

470074668 has 96 divisors (see below), whose sum is σ = 1325130240. Its totient is φ = 126696960.

The previous prime is 470074663. The next prime is 470074673. The reversal of 470074668 is 866470074.

It is an interprime number because it is at equal distance from previous prime (470074663) and next prime (470074673).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (470074663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499078 + ... + 500018.

It is an arithmetic number, because the mean of its divisors is an integer number (13803440).

Almost surely, 2470074668 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 470074668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662565120).

470074668 is an abundant number, since it is smaller than the sum of its proper divisors (855055572).

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

470074668 is a wasteful number, since it uses less digits than its factorization.

470074668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 470074668 is about 21681.2054092940. The cubic root of 470074668 is about 777.5391807607.

The spelling of 470074668 in words is "four hundred seventy million, seventy-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 313 399 532 626 798 939 941 1252 1596 1878 1882 2191 2823 3756 3764 4382 5646 5947 6573 6587 8764 11292 11894 13146 13174 17841 17879 19761 23788 26292 26348 35682 35758 39522 41629 53637 71364 71516 79044 83258 107274 124887 125153 166516 214548 249774 250306 294533 375459 499548 500612 589066 750918 883599 1178132 1501836 1767198 2061731 3534396 4123462 5596127 6185193 8246924 11192254 12370386 16788381 22384508 24740772 33576762 39172889 67153524 78345778 117518667 156691556 235037334 470074668