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2428499392 = 2611103107313
BaseRepresentation
bin1001000010111111…
…1111010111000000
320021020122112212221
42100233333113000
514433143440032
61040551100424
7114115622104
oct22057772700
96236575787
102428499392
1110369085a0
12579371714
132c91868b7
1419075b904
15e3305597
hex90bff5c0

2428499392 has 112 divisors (see below), whose sum is σ = 5374916352. Its totient is φ = 1079470080.

The previous prime is 2428499389. The next prime is 2428499431. The reversal of 2428499392 is 2939948242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7758628 + ... + 7758940.

Almost surely, 22428499392 is an apocalyptic number.

2428499392 is a gapful number since it is divisible by the number (22) 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 2428499392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687458176).

2428499392 is an abundant number, since it is smaller than the sum of its proper divisors (2946416960).

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

2428499392 is a wasteful number, since it uses less digits than its factorization.

2428499392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 536 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 52.

The square root of 2428499392 is about 49279.8071424798. The cubic root of 2428499392 is about 1344.1446249318.

The spelling of 2428499392 in words is "two billion, four hundred twenty-eight million, four hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 107 176 206 214 313 352 412 428 626 704 824 856 1133 1177 1252 1648 1712 2266 2354 2504 3296 3424 3443 4532 4708 5008 6592 6848 6886 9064 9416 10016 11021 13772 18128 18832 20032 22042 27544 32239 33491 36256 37664 44084 55088 64478 66982 72512 75328 88168 110176 121231 128956 133964 176336 220352 242462 257912 267928 352672 354629 368401 484924 515824 535856 705344 709258 736802 969848 1031648 1071712 1418516 1473604 1939696 2063296 2143424 2837032 2947208 3449573 3879392 5674064 5894416 6899146 7758784 11348128 11788832 13798292 22696256 23577664 27596584 37945303 55193168 75890606 110386336 151781212 220772672 303562424 607124848 1214249696 2428499392