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4989346432 = 27723323899
BaseRepresentation
bin1001010010110001…
…10110001010000000
3110212201100001121121
410221120312022000
540204233041212
62143031002024
7234432513340
oct45130661200
913781301547
104989346432
1121303a0904
12b72b09314
1361689b6c5
143548cad20
151e304ed07
hex129636280

4989346432 has 64 divisors (see below), whose sum is σ = 11408904000. Its totient is φ = 2129025024.

The previous prime is 4989346393. The next prime is 4989346433. The reversal of 4989346432 is 2346439894.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×49893464322 = 49787155637022261248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4989346432.

It is not an unprimeable number, because it can be changed into a prime (4989346433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196819 + ... + 220717.

It is an arithmetic number, because the mean of its divisors is an integer number (178264125).

Almost surely, 24989346432 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 4989346432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5704452000).

4989346432 is an abundant number, since it is smaller than the sum of its proper divisors (6419557568).

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

4989346432 is a wasteful number, since it uses less digits than its factorization.

4989346432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24153 (or 24141 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 52.

The square root of 4989346432 is about 70635.3058462976. The cubic root of 4989346432 is about 1708.7605934092.

The spelling of 4989346432 in words is "four billion, nine hundred eighty-nine million, three hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 233 448 466 896 932 1631 1864 3262 3728 6524 7456 13048 14912 23899 26096 29824 47798 52192 95596 104384 167293 191192 208768 334586 382384 669172 764768 1338344 1529536 2676688 3059072 5353376 5568467 10706752 11136934 21413504 22273868 38979269 44547736 77958538 89095472 155917076 178190944 311834152 356381888 623668304 712763776 1247336608 2494673216 4989346432