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2985638264 = 237194365257
BaseRepresentation
bin1011000111110101…
…0011100101111000
321201002000010201222
42301331103211320
522103310411024
61212132331212
7133662335510
oct26175234570
97632003658
102985638264
1112a2351244
126b3a73b08
1338772657b
14204748840
151271a885e
hexb1f53978

2985638264 has 64 divisors (see below), whose sum is σ = 6891244800. Its totient is φ = 1184004864.

The previous prime is 2985638261. The next prime is 2985638267. The reversal of 2985638264 is 4628365892.

It is an interprime number because it is at equal distance from previous prime (2985638261) and next prime (2985638267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985638261) 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, 13124 + ... + 78380.

It is an arithmetic number, because the mean of its divisors is an integer number (107675700).

Almost surely, 22985638264 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 2985638264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445622400).

2985638264 is an abundant number, since it is smaller than the sum of its proper divisors (3905606536).

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

2985638264 is a wasteful number, since it uses less digits than its factorization.

2985638264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65332 (or 65328 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 53.

The square root of 2985638264 is about 54640.9943540562. The cubic root of 2985638264 is about 1439.9444204371.

The spelling of 2985638264 in words is "two billion, nine hundred eighty-five million, six hundred thirty-eight thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 43 56 76 86 133 152 172 266 301 344 532 602 817 1064 1204 1634 2408 3268 5719 6536 11438 22876 45752 65257 130514 261028 456799 522056 913598 1239883 1827196 2479766 2806051 3654392 4959532 5612102 8679181 9919064 11224204 17358362 19642357 22448408 34716724 39284714 53314969 69433448 78569428 106629938 157138856 213259876 373204783 426519752 746409566 1492819132 2985638264