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4938008394 = 2311177161987
BaseRepresentation
bin1001001100101010…
…00000011101001010
3110202010201211001210
410212111000131022
540103112232034
62133554353550
7233240243634
oct44625003512
913663654053
104938008394
112104416880
12b5988b8b6
13609065277
1434bb65a54
151dd7ad8e9
hex12654074a

4938008394 has 64 divisors (see below), whose sum is σ = 11568448512. Its totient is φ = 1388486400.

The previous prime is 4938008393. The next prime is 4938008417.

4938008394 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4938008393) 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 31 ways as a sum of consecutive naturals, for example, 48669 + ... + 110655.

It is an arithmetic number, because the mean of its divisors is an integer number (180757008).

Almost surely, 24938008394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4938008394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784224256).

4938008394 is an abundant number, since it is smaller than the sum of its proper divisors (6630440118).

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

4938008394 is a wasteful number, since it uses less digits than its factorization.

4938008394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62091.

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 4938008394 is about 70270.9640890176. The cubic root of 4938008394 is about 1702.8795940722.

The spelling of 4938008394 in words is "four billion, nine hundred thirty-eight million, eight thousand, three hundred ninety-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 71 102 142 187 213 374 426 561 781 1122 1207 1562 2343 2414 3621 4686 7242 13277 26554 39831 61987 79662 123974 185961 371922 681857 1053779 1363714 2045571 2107558 3161337 4091142 4401077 6322674 8802154 11591569 13203231 23183138 26406462 34774707 48411847 69549414 74818309 96823694 145235541 149636618 224454927 290471082 448909854 823001399 1646002798 2469004197 4938008394