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652648428 = 223517127311
BaseRepresentation
bin100110111001101…
…001111111101100
31200111001222100000
4212321221333230
52314034222203
6144432304300
722113264045
oct4671517754
91614058300
10652648428
11305448473
121626a2090
13a52a0603
146296d8cc
153c46c4a3
hex26e69fec

652648428 has 144 divisors (see below), whose sum is σ = 1831624704. Its totient is φ = 202487040.

The previous prime is 652648427. The next prime is 652648433. The reversal of 652648428 is 824846256.

It is not an unprimeable number, because it can be changed into a prime (652648427) 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 47 ways as a sum of consecutive naturals, for example, 2098393 + ... + 2098703.

It is an arithmetic number, because the mean of its divisors is an integer number (12719616).

Almost surely, 2652648428 is an apocalyptic number.

652648428 is a gapful number since it is divisible by the number (68) 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 652648428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915812352).

652648428 is an abundant number, since it is smaller than the sum of its proper divisors (1178976276).

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

652648428 is a wasteful number, since it uses less digits than its factorization.

652648428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 460 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 652648428 is about 25546.9847144433. The cubic root of 652648428 is about 867.4140094763.

The spelling of 652648428 in words is "six hundred fifty-two million, six hundred forty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 127 153 162 204 243 254 306 311 324 381 459 486 508 612 622 762 918 933 972 1143 1244 1377 1524 1836 1866 2159 2286 2754 2799 3429 3732 4131 4318 4572 5287 5508 5598 6477 6858 8262 8397 8636 10287 10574 11196 12954 13716 15861 16524 16794 19431 20574 21148 25191 25908 30861 31722 33588 38862 39497 41148 47583 50382 58293 61722 63444 75573 77724 78994 95166 100764 116586 118491 123444 142749 151146 157988 174879 190332 233172 236982 285498 302292 349758 355473 428247 473964 524637 570996 671449 699516 710946 856494 1049274 1066419 1284741 1342898 1421892 1712988 2014347 2098548 2132838 2569482 2685796 3199257 4028694 4265676 5138964 6043041 6398514 8057388 9597771 12086082 12797028 18129123 19195542 24172164 36258246 38391084 54387369 72516492 108774738 163162107 217549476 326324214 652648428