Search a number
-
+
4798400208 = 243723620911
BaseRepresentation
bin1000111100000000…
…11100011011010000
3110101102000222122020
410132000130123100
534311342301313
62112050211440
7226623504660
oct43600343320
913342028566
104798400208
112042632108
12b1ab83b80
135b6164384
143373c41a0
151d13d3323
hex11e01c6d0

4798400208 has 80 divisors (see below), whose sum is σ = 14782672896. Its totient is φ = 1311361920.

The previous prime is 4798400207. The next prime is 4798400237. The reversal of 4798400208 is 8020048974.

It is a super-2 number, since 2×47984002082 = 46049289112268886528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4798400208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4798400207) 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, 302728 + ... + 318183.

Almost surely, 24798400208 is an apocalyptic number.

4798400208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4798400208 is an abundant number, since it is smaller than the sum of its proper divisors (9984272688).

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

4798400208 is a wasteful number, since it uses less digits than its factorization.

4798400208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620952 (or 620946 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 4798400208 is about 69270.4858363214. The cubic root of 4798400208 is about 1686.6779046642.

The spelling of 4798400208 in words is "four billion, seven hundred ninety-eight million, four hundred thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 620911 1241822 1862733 2483644 3725466 4346377 4967288 7450932 8692754 9934576 13039131 14280953 14901864 17385508 26078262 28561906 29803728 34771016 42842859 52156524 57123812 69542032 85685718 99966671 104313048 114247624 171371436 199933342 208626096 228495248 299900013 342742872 399866684 599800026 685485744 799733368 1199600052 1599466736 2399200104 4798400208