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7428445024 = 2571113217839
BaseRepresentation
bin1101110101100010…
…10001001101100000
3201011200221002212111
412322301101031200
5110203140220044
63225041205104
7352040512060
oct67261211540
921150832774
107428445024
113172188770
121533930794
13914cc6800
145068073a0
152d724ab34
hex1bac51360

7428445024 has 144 divisors (see below), whose sum is σ = 19745026560. Its totient is φ = 2671418880.

The previous prime is 7428445009. The next prime is 7428445039. The reversal of 7428445024 is 4205448247.

It is an interprime number because it is at equal distance from previous prime (7428445009) and next prime (7428445039).

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, 407497 + ... + 425335.

It is an arithmetic number, because the mean of its divisors is an integer number (137118240).

Almost surely, 27428445024 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 7428445024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9872513280).

7428445024 is an abundant number, since it is smaller than the sum of its proper divisors (12316581536).

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

7428445024 is a wasteful number, since it uses less digits than its factorization.

7428445024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17893 (or 17872 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 40.

The square root of 7428445024 is about 86188.4274366344. The cubic root of 7428445024 is about 1951.1888454264.

The spelling of 7428445024 in words is "seven billion, four hundred twenty-eight million, four hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 169 176 182 208 224 286 308 338 352 364 416 572 616 676 728 1001 1144 1183 1232 1352 1456 1859 2002 2288 2366 2464 2704 2912 3718 4004 4576 4732 5408 7436 8008 9464 13013 14872 16016 17839 18928 26026 29744 32032 35678 37856 52052 59488 71356 104104 124873 142712 196229 208208 231907 249746 285424 392458 416416 463814 499492 570848 784916 927628 998984 1373603 1569832 1623349 1855256 1997968 2550977 2747206 3014791 3139664 3246698 3710512 3995936 5101954 5494412 6029582 6279328 6493396 7421024 10203908 10988824 12059164 12986792 17856839 20407816 21103537 21977648 24118328 25973584 33162701 35713678 40815632 42207074 43955296 48236656 51947168 66325402 71427356 81631264 84414148 96473312 132650804 142854712 168828296 232138907 265301608 285709424 337656592 464277814 530603216 571418848 675313184 928555628 1061206432 1857111256 3714222512 7428445024