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4490949264 = 243474194751
BaseRepresentation
bin1000010111010111…
…00111001010010000
3102120222111212020020
410023223213022100
533144140334024
62021344343440
7216201303354
oct41353471220
912528455206
104490949264
1119a502971a
12a54014b80
13567558039
14308631464
151b4401979
hex10bae7290

4490949264 has 80 divisors (see below), whose sum is σ = 11879239680. Its totient is φ = 1461328000.

The previous prime is 4490949263. The next prime is 4490949277. The reversal of 4490949264 is 4629490944.

It is not an unprimeable number, because it can be changed into a prime (4490949263) 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, 942889 + ... + 947639.

It is an arithmetic number, because the mean of its divisors is an integer number (148490496).

Almost surely, 24490949264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4490949264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939619840).

4490949264 is an abundant number, since it is smaller than the sum of its proper divisors (7388290416).

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

4490949264 is a wasteful number, since it uses less digits than its factorization.

4490949264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The square root of 4490949264 is about 67014.5451674485. The cubic root of 4490949264 is about 1649.8560344547.

The spelling of 4490949264 in words is "four billion, four hundred ninety million, nine hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 419 564 752 838 1128 1257 1676 2256 2514 3352 4751 5028 6704 9502 10056 14253 19004 19693 20112 28506 38008 39386 57012 59079 76016 78772 114024 118158 157544 223297 228048 236316 315088 446594 472632 669891 893188 945264 1339782 1786376 1990669 2679564 3572752 3981338 5359128 5972007 7962676 10718256 11944014 15925352 23888028 31850704 47776056 93561443 95552112 187122886 280684329 374245772 561368658 748491544 1122737316 1496983088 2245474632 4490949264