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552950064 = 24343311289
BaseRepresentation
bin100000111101010…
…101100100110000
31102112110202220000
4200331111210300
52113023400224
6130511350000
716462666212
oct4075254460
91375422800
10552950064
11264142627
12135222300
138a7341b4
145361a5b2
15338270c9
hex20f55930

552950064 has 100 divisors (see below), whose sum is σ = 1606478280. Its totient is φ = 183617280.

The previous prime is 552950051. The next prime is 552950077. The reversal of 552950064 is 460059255.

It is an interprime number because it is at equal distance from previous prime (552950051) and next prime (552950077).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 428332 + ... + 429620.

Almost surely, 2552950064 is an apocalyptic number.

552950064 is a gapful number since it is divisible by the number (54) 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 552950064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803239140).

552950064 is an abundant number, since it is smaller than the sum of its proper divisors (1053528216).

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

552950064 is a wasteful number, since it uses less digits than its factorization.

552950064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 552950064 is about 23514.8902612791. The cubic root of 552950064 is about 820.7835381945.

The spelling of 552950064 in words is "five hundred fifty-two million, nine hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 331 432 648 662 993 1289 1296 1324 1986 2578 2648 2979 3867 3972 5156 5296 5958 7734 7944 8937 10312 11601 11916 15468 15888 17874 20624 23202 23832 26811 30936 34803 35748 46404 47664 53622 61872 69606 71496 92808 104409 107244 139212 142992 185616 208818 214488 278424 417636 426659 428976 556848 835272 853318 1279977 1670544 1706636 2559954 3413272 3839931 5119908 6826544 7679862 10239816 11519793 15359724 20479632 23039586 30719448 34559379 46079172 61438896 69118758 92158344 138237516 184316688 276475032 552950064