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469209000 = 233531353227
BaseRepresentation
bin11011111101111…
…000111110101000
31012200220021202010
4123331320332220
51430104142000
6114320435520
714425132161
oct3375707650
91180807663
10469209000
11220946737
12111178ba0
1376294080
144645c768
152b2d4d50
hex1bf78fa8

469209000 has 256 divisors, whose sum is σ = 1613364480. Its totient is φ = 112819200.

The previous prime is 469208989. The next prime is 469209007. The reversal of 469209000 is 902964.

469209000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (469209007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2066887 + ... + 2067113.

It is an arithmetic number, because the mean of its divisors is an integer number (6302205).

Almost surely, 2469209000 is an apocalyptic number.

469209000 is a gapful number since it is divisible by the number (40) 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 469209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

469209000 is an abundant number, since it is smaller than the sum of its proper divisors (1144155480).

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

469209000 is a wasteful number, since it uses less digits than its factorization.

469209000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 469209000 is about 21661.2326519060. The cubic root of 469209000 is about 777.0615939472.

The spelling of 469209000 in words is "four hundred sixty-nine million, two hundred nine thousand".