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1426505280 = 26359715319
BaseRepresentation
bin101010100000110…
…1011111001000000
310200102012222100220
41111001223321000
510410141132110
6353314543040
750231044344
oct12501537100
93612188326
101426505280
11672252592
12339897a80
131996cbb85
14d7651624
158537d370
hex5506be40

1426505280 has 112 divisors (see below), whose sum is σ = 4576145280. Its totient is φ = 376455168.

The previous prime is 1426505231. The next prime is 1426505281. The reversal of 1426505280 is 825056241.

It is not an unprimeable number, because it can be changed into a prime (1426505281) 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 15 ways as a sum of consecutive naturals, for example, 85461 + ... + 100779.

It is an arithmetic number, because the mean of its divisors is an integer number (40858440).

Almost surely, 21426505280 is an apocalyptic number.

1426505280 is a gapful number since it is divisible by the number (10) 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 1426505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288072640).

1426505280 is an abundant number, since it is smaller than the sum of its proper divisors (3149640000).

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

1426505280 is a wasteful number, since it uses less digits than its factorization.

1426505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15436 (or 15426 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 1426505280 is about 37769.1048345073. The cubic root of 1426505280 is about 1125.7046528638.

The spelling of 1426505280 in words is "one billion, four hundred twenty-six million, five hundred five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 160 192 194 240 291 320 388 480 485 582 776 960 970 1164 1455 1552 1940 2328 2910 3104 3880 4656 5820 6208 7760 9312 11640 15319 15520 18624 23280 30638 31040 45957 46560 61276 76595 91914 93120 122552 153190 183828 229785 245104 306380 367656 459570 490208 612760 735312 919140 980416 1225520 1470624 1485943 1838280 2451040 2941248 2971886 3676560 4457829 4902080 5943772 7353120 7429715 8915658 11887544 14706240 14859430 17831316 22289145 23775088 29718860 35662632 44578290 47550176 59437720 71325264 89156580 95100352 118875440 142650528 178313160 237750880 285301056 356626320 475501760 713252640 1426505280