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652107072 = 263313312
BaseRepresentation
bin100110110111100…
…101110101000000
31200110001110201210
4212313211311000
52313414411242
6144412530120
722105550541
oct4667456500
91613043653
10652107072
11305108771
12162480940
13a5141096
146286c4c8
153c3b1d9c
hex26de5d40

652107072 has 84 divisors (see below), whose sum is σ = 1786420608. Its totient is φ = 209721600.

The previous prime is 652107061. The next prime is 652107073. The reversal of 652107072 is 270701256.

652107072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652107073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1969947 + ... + 1970277.

It is an arithmetic number, because the mean of its divisors is an integer number (21266912).

Almost surely, 2652107072 is an apocalyptic number.

652107072 is a gapful number since it is divisible by the number (62) 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 652107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893210304).

652107072 is an abundant number, since it is smaller than the sum of its proper divisors (1134313536).

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

652107072 is an equidigital number, since it uses as much as digits as its factorization.

652107072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 652107072 is about 25536.3872151093. The cubic root of 652107072 is about 867.1741101914.

The spelling of 652107072 in words is "six hundred fifty-two million, one hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 331 372 496 662 744 992 993 1324 1488 1984 1986 2648 2976 3972 5296 5952 7944 10261 10592 15888 20522 21184 30783 31776 41044 61566 63552 82088 109561 123132 164176 219122 246264 328352 328683 438244 492528 656704 657366 876488 985056 1314732 1752976 1970112 2629464 3396391 3505952 5258928 6792782 7011904 10189173 10517856 13585564 20378346 21035712 27171128 40756692 54342256 81513384 108684512 163026768 217369024 326053536 652107072