Search a number
-
+
5949891072 = 29331273389
BaseRepresentation
bin1011000101010010…
…00010001000000000
3120100122202210011000
411202221002020000
544141133003242
62422222452000
7300305145126
oct54251021000
916318683130
105949891072
112583616254
1211a0734000
1373a8a2c08
144062c7916
1524c53aa4c
hex162a42200

5949891072 has 160 divisors (see below), whose sum is σ = 17756006400. Its totient is φ = 1967099904.

The previous prime is 5949891071. The next prime is 5949891107. The reversal of 5949891072 is 2701989495.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5949891071) 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, 1753954 + ... + 1757342.

It is an arithmetic number, because the mean of its divisors is an integer number (110975040).

Almost surely, 25949891072 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 5949891072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8878003200).

5949891072 is an abundant number, since it is smaller than the sum of its proper divisors (11806115328).

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

5949891072 is a wasteful number, since it uses less digits than its factorization.

5949891072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 5949891072 is about 77135.5370241240. The cubic root of 5949891072 is about 1812.0478913705.

The spelling of 5949891072 in words is "five billion, nine hundred forty-nine million, eight hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 256 288 381 384 432 508 512 576 762 768 864 1016 1143 1152 1524 1536 1728 2032 2286 2304 3048 3389 3429 3456 4064 4572 4608 6096 6778 6858 6912 8128 9144 10167 12192 13556 13716 13824 16256 18288 20334 24384 27112 27432 30501 32512 36576 40668 48768 54224 54864 61002 65024 73152 81336 91503 97536 108448 109728 122004 146304 162672 183006 195072 216896 219456 244008 292608 325344 366012 430403 433792 438912 488016 585216 650688 732024 860806 867584 877824 976032 1291209 1301376 1464048 1721612 1735168 1755648 1952064 2582418 2602752 2928096 3443224 3873627 3904128 5164836 5205504 5856192 6886448 7747254 7808256 10329672 11620881 11712384 13772896 15494508 15616512 20659344 23241762 23424768 27545792 30989016 41318688 46483524 46849536 55091584 61978032 82637376 92967048 110183168 123956064 165274752 185934096 220366336 247912128 330549504 371868192 495824256 661099008 743736384 991648512 1487472768 1983297024 2974945536 5949891072