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4681433240 = 2351131134211
BaseRepresentation
bin1000101110000100…
…10000000010011000
3110002020221110010022
410113002100002120
534041421330430
62052311210012
7224003345261
oct42702200230
913066843108
104681433240
111a926020a0
12aa7976908
13597b5cb53
14325a57968
151c5ecb4e5
hex117090098

4681433240 has 64 divisors (see below), whose sum is σ = 11528075520. Its totient is φ = 1696816000.

The previous prime is 4681433231. The next prime is 4681433249. The reversal of 4681433240 is 423341864.

It is a Cunningham number, because it is equal to 684212-1.

It is an interprime number because it is at equal distance from previous prime (4681433231) and next prime (4681433249).

It is a self number, because there is not a number n which added to its sum of digits gives 4681433240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681433249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119735 + ... + 153945.

It is an arithmetic number, because the mean of its divisors is an integer number (180126180).

Almost surely, 24681433240 is an apocalyptic number.

4681433240 is a gapful number since it is divisible by the number (40) 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 4681433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5764037760).

4681433240 is an abundant number, since it is smaller than the sum of its proper divisors (6846642280).

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

4681433240 is a wasteful number, since it uses less digits than its factorization.

4681433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34544 (or 34540 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 4681433240 is about 68420.9999926923. Note that the first 5 decimals coincide. The cubic root of 4681433240 is about 1672.8600565561.

The spelling of 4681433240 in words is "four billion, six hundred eighty-one million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 311 440 622 1244 1555 2488 3110 3421 6220 6842 12440 13684 17105 27368 34210 34211 68420 68422 136840 136844 171055 273688 342110 376321 684220 752642 1368440 1505284 1881605 3010568 3763210 7526420 10639621 15052840 21279242 42558484 53198105 85116968 106396210 117035831 212792420 234071662 425584840 468143324 585179155 936286648 1170358310 2340716620 4681433240