Search a number
-
+
470136576 = 2837213312
BaseRepresentation
bin11100000001011…
…011011100000000
31012202122102010210
4130001123130000
51430323332301
6114352354120
714436044400
oct3401333400
91182572123
10470136576
1122141a628
12111545940
137652a330
1446620800
152b419ad6
hex1c05b700

470136576 has 324 divisors, whose sum is σ = 1619694216. Its totient is φ = 119992320.

The previous prime is 470136539. The next prime is 470136631. The reversal of 470136576 is 675631074.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 35 ways as a sum of consecutive naturals, for example, 15165681 + ... + 15165711.

Almost surely, 2470136576 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 470136576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809847108).

470136576 is an abundant number, since it is smaller than the sum of its proper divisors (1149557640).

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

470136576 is a wasteful number, since it uses less digits than its factorization.

470136576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 470136576 is about 21682.6330504392. The cubic root of 470136576 is about 777.5733127727.

Multiplying 470136576 by its sum of digits (39), we get a square (18335326464 = 1354082).

470136576 divided by its sum of digits (39) gives a square (12054784 = 34722).

The spelling of 470136576 in words is "four hundred seventy million, one hundred thirty-six thousand, five hundred seventy-six".