Search a number
-
+
5772624384 = 29319223887
BaseRepresentation
bin1010110000001001…
…10100001000000000
3112220022012200222010
411120010310020000
543310242440014
62352451212520
7263023332462
oct53004641000
915808180863
105772624384
1124a255015a
1211512a7140
1370cc48197
143ca942132
1523bbc2359
hex158134200

5772624384 has 160 divisors (see below), whose sum is σ = 16278958080. Its totient is φ = 1812713472.

The previous prime is 5772624349. The next prime is 5772624409. The reversal of 5772624384 is 4834262775.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6507589 + ... + 6508475.

It is an arithmetic number, because the mean of its divisors is an integer number (101743488).

Almost surely, 25772624384 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 5772624384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8139479040).

5772624384 is an abundant number, since it is smaller than the sum of its proper divisors (10506333696).

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

5772624384 is a wasteful number, since it uses less digits than its factorization.

5772624384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1134 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The square root of 5772624384 is about 75977.7887543458. The cubic root of 5772624384 is about 1793.8705489056.

The spelling of 5772624384 in words is "five billion, seven hundred seventy-two million, six hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 223 228 256 304 384 446 456 512 608 669 768 887 892 912 1216 1338 1536 1774 1784 1824 2432 2661 2676 3548 3568 3648 4237 4864 5322 5352 7096 7136 7296 8474 9728 10644 10704 12711 14192 14272 14592 16853 16948 21288 21408 25422 28384 28544 29184 33706 33896 42576 42816 50559 50844 56768 57088 67412 67792 85152 85632 101118 101688 113536 114176 134824 135584 170304 171264 197801 202236 203376 227072 269648 271168 340608 342528 395602 404472 406752 454144 539296 542336 593403 681216 791204 808944 813504 1078592 1084672 1186806 1362432 1582408 1617888 1627008 2157184 2169344 2373612 3164816 3235776 3254016 3758219 4314368 4747224 6329632 6471552 6508032 7516438 8628736 9494448 11274657 12659264 12943104 15032876 18988896 22549314 25318528 25886208 30065752 37977792 45098628 50637056 60131504 75955584 90197256 101274112 120263008 151911168 180394512 240526016 303822336 360789024 481052032 721578048 962104064 1443156096 1924208128 2886312192 5772624384