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475136 = 21429
BaseRepresentation
bin1110100000000000000
3220010202122
41310000000
5110201021
614103412
74016144
oct1640000
9803678
10475136
112a4a82
121aab68
1313835c
14c5224
1595bab
hex74000

475136 has 30 divisors (see below), whose sum is σ = 983010. Its totient is φ = 229376.

The previous prime is 475109. The next prime is 475141. The reversal of 475136 is 631574.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 65536 = 640^2 + 256^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

475136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16370 + ... + 16398.

It is an arithmetic number, because the mean of its divisors is an integer number (32767).

475136 is a Friedman number, since it can be written as 4^7*(5+6*(3+1)), using all its digits and the basic arithmetic operations.

2475136 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 475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491505).

475136 is an abundant number, since it is smaller than the sum of its proper divisors (507874).

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

475136 is an frugal number, since it uses more digits than its factorization.

475136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 31 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 475136 is about 689.3010953132. The cubic root of 475136 is about 78.0319833772.

The spelling of 475136 in words is "four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 3712 4096 7424 8192 14848 16384 29696 59392 118784 237568 475136