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4983017368 = 2372193671823
BaseRepresentation
bin1001010010000001…
…01100111110011000
3110212021102111202211
410221000230332120
540201123023433
62142243204504
7234324643300
oct45100547630
913767374684
104983017368
11212786877a
12b70976734
136154939b4
14353b20600
151e26ee8cd
hex12902cf98

4983017368 has 96 divisors (see below), whose sum is σ = 11478067200. Its totient is φ = 2016560448.

The previous prime is 4983017359. The next prime is 4983017383. The reversal of 4983017368 is 8637103894.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2732505 + ... + 2734327.

It is an arithmetic number, because the mean of its divisors is an integer number (119563200).

Almost surely, 24983017368 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 4983017368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739033600).

4983017368 is an abundant number, since it is smaller than the sum of its proper divisors (6495049832).

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

4983017368 is a wasteful number, since it uses less digits than its factorization.

4983017368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 4983017368 is about 70590.4906343624. The cubic root of 4983017368 is about 1708.0377578323.

The spelling of 4983017368 in words is "four billion, nine hundred eighty-three million, seventeen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 367 392 532 734 931 1064 1468 1823 1862 2569 2936 3646 3724 5138 6973 7292 7448 10276 12761 13946 14584 17983 20552 25522 27892 34637 35966 48811 51044 55784 69274 71932 89327 97622 102088 138548 143864 178654 195244 242459 277096 341677 357308 390488 484918 669041 683354 714616 969836 1338082 1366708 1697213 1939672 2676164 2733416 3394426 4683287 5352328 6788852 9366574 12711779 13577704 18733148 25423558 32783009 37466296 50847116 65566018 88982453 101694232 131132036 177964906 262264072 355929812 622877171 711859624 1245754342 2491508684 4983017368