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662429040 = 24357313619
BaseRepresentation
bin100111011110111…
…101110101110000
31201011110212210220
4213132331311300
52324040212130
6145422053040
722262361000
oct4736756560
91634425726
10662429040
1130aa18819
12165a1a180
13a7316360
1463d98000
153d250410
hex277bdd70

662429040 has 320 divisors, whose sum is σ = 2583168000. Its totient is φ = 139539456.

The previous prime is 662429029. The next prime is 662429051. The reversal of 662429040 is 40924266.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (662429029) and next prime (662429051).

It is a junction number, because it is equal to n+sod(n) for n = 662428992 and 662429010.

It is a congruent number.

It is an unprimeable number.

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, 1069851 + ... + 1070469.

It is an arithmetic number, because the mean of its divisors is an integer number (8072400).

Almost surely, 2662429040 is an apocalyptic number.

662429040 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 662429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291584000).

662429040 is an abundant number, since it is smaller than the sum of its proper divisors (1920738960).

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

662429040 is a wasteful number, since it uses less digits than its factorization.

662429040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 662429040 is about 25737.6968666584. The cubic root of 662429040 is about 871.7255750657.

The spelling of 662429040 in words is "six hundred sixty-two million, four hundred twenty-nine thousand, forty".