Search a number
-
+
470068544 = 26112101601
BaseRepresentation
bin11100000001001…
…010110101000000
31012202111221211002
4130001022311000
51430314143134
6114351111132
714435342141
oct3401126500
91182457732
10470068544
11221383500
121115124a8
137650538a
1446603ac8
152b40487e
hex1c04ad40

470068544 has 84 divisors (see below), whose sum is σ = 1037174964. Its totient is φ = 211200000.

The previous prime is 470068483. The next prime is 470068553. The reversal of 470068544 is 445860074.

It can be written as a sum of positive squares in 2 ways, for example, as 427662400 + 42406144 = 20680^2 + 6512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 470068498 and 470068507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 781844 + ... + 782444.

It is an arithmetic number, because the mean of its divisors is an integer number (12347321).

Almost surely, 2470068544 is an apocalyptic number.

470068544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470068544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518587482).

470068544 is an abundant number, since it is smaller than the sum of its proper divisors (567106420).

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

470068544 is a wasteful number, since it uses less digits than its factorization.

470068544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 470068544 is about 21681.0641805240. The cubic root of 470068544 is about 777.5358042258.

The spelling of 470068544 in words is "four hundred seventy million, sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 121 176 202 242 352 404 484 601 704 808 968 1111 1202 1616 1936 2222 2404 3232 3872 4444 4808 6464 6611 7744 8888 9616 12221 13222 17776 19232 24442 26444 35552 38464 48884 52888 60701 71104 72721 97768 105776 121402 145442 195536 211552 242804 290884 391072 423104 485608 581768 667711 782144 971216 1163536 1335422 1942432 2327072 2670844 3884864 4654144 5341688 7344821 10683376 14689642 21366752 29379284 42733504 58758568 117517136 235034272 470068544