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1426973328 = 243311227299
BaseRepresentation
bin101010100001101…
…1110001010010000
310200110002202102000
41111003132022100
510410301121303
6353332554000
750235034044
oct12503361220
93613082360
101426973328
11672542200
12339a82900
13199833c21
14d7734024
1585421da3
hex550de290

1426973328 has 120 divisors (see below), whose sum is σ = 4502316000. Its totient is φ = 432400320.

The previous prime is 1426973323. The next prime is 1426973329. The reversal of 1426973328 is 8233796241.

It is not an unprimeable number, because it can be changed into a prime (1426973323) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38623 + ... + 65921.

It is an arithmetic number, because the mean of its divisors is an integer number (37519300).

Almost surely, 21426973328 is an apocalyptic number.

1426973328 is a gapful number since it is divisible by the number (18) 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 1426973328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251158000).

1426973328 is an abundant number, since it is smaller than the sum of its proper divisors (3075342672).

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

1426973328 is a wasteful number, since it uses less digits than its factorization.

1426973328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27338 (or 27315 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1426973328 is about 37775.3005017829. The cubic root of 1426973328 is about 1125.8277570225.

The spelling of 1426973328 in words is "one billion, four hundred twenty-six million, nine hundred seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1452 1584 1936 2178 2376 2904 3267 4356 4752 5808 6534 8712 13068 17424 26136 27299 52272 54598 81897 109196 163794 218392 245691 300289 327588 436784 491382 600578 655176 737073 900867 982764 1201156 1310352 1474146 1801734 1965528 2402312 2702601 2948292 3303179 3603468 3931056 4804624 5405202 5896584 6606358 7206936 8107803 9909537 10810404 11793168 13212716 14413872 16215606 19819074 21620808 26425432 29728611 32431212 39638148 43241616 52850864 59457222 64862424 79276296 89185833 118914444 129724848 158552592 178371666 237828888 356743332 475657776 713486664 1426973328