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470147664 = 24379671447
BaseRepresentation
bin11100000001011…
…110001001010000
31012202122222100110
4130001132021100
51430324211124
6114352521320
714436121620
oct3401361120
91182588313
10470147664
11221427998
12111550240
13765323ac
1446624880
152b41d029
hex1c05e250

470147664 has 80 divisors (see below), whose sum is σ = 1390450688. Its totient is φ = 134096256.

The previous prime is 470147659. The next prime is 470147707. The reversal of 470147664 is 466741074.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 324189 + ... + 325635.

Almost surely, 2470147664 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 470147664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695225344).

470147664 is an abundant number, since it is smaller than the sum of its proper divisors (920303024).

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

470147664 is a wasteful number, since it uses less digits than its factorization.

470147664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 470147664 is about 21682.8887374353. Note that the first 3 decimals coincide. The cubic root of 470147664 is about 777.5794256525.

The spelling of 470147664 in words is "four hundred seventy million, one hundred forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 967 1447 1934 2894 2901 3868 4341 5788 5802 6769 7736 8682 10129 11576 11604 13538 15472 17364 20258 20307 23152 23208 27076 30387 34728 40516 40614 46416 54152 60774 69456 81032 81228 108304 121548 162064 162456 243096 324912 486192 1399249 2798498 4197747 5596996 8395494 9794743 11193992 16790988 19589486 22387984 29384229 33581976 39178972 58768458 67163952 78357944 117536916 156715888 235073832 470147664