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690225152 = 2182633
BaseRepresentation
bin101001001001000…
…000000000000000
31210002210001220112
4221021000000000
52403144201102
6152253530452
723050550141
oct5111000000
91702701815
10690225152
11324683411
121731a3a28
13accc9166
1467951ac8
15408e1252
hex29240000

690225152 has 38 divisors (see below), whose sum is σ = 1380971958. Its totient is φ = 344981504.

The previous prime is 690225149. The next prime is 690225161. The reversal of 690225152 is 251522096.

It can be written as a sum of positive squares in only one way, i.e., 484704256 + 205520896 = 22016^2 + 14336^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 260828 + ... + 263460.

Almost surely, 2690225152 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 690225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690485979).

690225152 is an abundant number, since it is smaller than the sum of its proper divisors (690746806).

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

690225152 is an frugal number, since it uses more digits than its factorization.

690225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 690225152 is about 26272.1364186470. The cubic root of 690225152 is about 883.7516961957.

The spelling of 690225152 in words is "six hundred ninety million, two hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2633 4096 5266 8192 10532 16384 21064 32768 42128 65536 84256 131072 168512 262144 337024 674048 1348096 2696192 5392384 10784768 21569536 43139072 86278144 172556288 345112576 690225152