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470528 = 29919
BaseRepresentation
bin1110010111000000000
3212220102222
41302320000
5110024103
614030212
73666542
oct1627000
9786388
10470528
112a1573
121a8368
13136226
14c3692
1594638
hex72e00

470528 has 20 divisors (see below), whose sum is σ = 941160. Its totient is φ = 235008.

The previous prime is 470521. The next prime is 470531. The reversal of 470528 is 825074.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 470497 and 470506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470521) by changing a digit.

470528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (47058).

2470528 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 470528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470580).

470528 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

470528 is an frugal number, since it uses more digits than its factorization.

470528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 470528 is about 685.9504355272. The cubic root of 470528 is about 77.7789048967.

It can be divided in two parts, 470 and 528, that multiplied together give a triangular number (248160 = T704).

The spelling of 470528 in words is "four hundred seventy thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 919 1838 3676 7352 14704 29408 58816 117632 235264 470528