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629004420 = 2233511176229
BaseRepresentation
bin100101011111011…
…101100010000100
31121211120201212000
4211133131202010
52242011120140
6142225425300
721405310062
oct4537354204
91554521760
10629004420
112a3069370
1215679b230
13a0412685
145d777032
153a34ba30
hex257dd884

629004420 has 192 divisors, whose sum is σ = 2260742400. Its totient is φ = 143493120.

The previous prime is 629004379. The next prime is 629004469. The reversal of 629004420 is 24400926.

629004420 is digitally balanced in base 2, 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97866 + ... + 104094.

It is an arithmetic number, because the mean of its divisors is an integer number (11774700).

Almost surely, 2629004420 is an apocalyptic number.

629004420 is a gapful number since it is divisible by the number (60) 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 629004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130371200).

629004420 is an abundant number, since it is smaller than the sum of its proper divisors (1631737980).

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

629004420 is a wasteful number, since it uses less digits than its factorization.

629004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6275 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 629004420 is about 25079.9605262847. The cubic root of 629004420 is about 856.8100772458.

It can be divided in two parts, 6290044 and 20, that added together give a square (6290064 = 25082).

The spelling of 629004420 in words is "six hundred twenty-nine million, four thousand, four hundred twenty".