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5719454440 = 235724721321
BaseRepresentation
bin1010101001110011…
…11111001011101000
3112202121011101111221
411110321333023220
543203140020230
62343311431424
7261506363200
oct52471771350
915677141457
105719454440
112475534857
121137525574
13701c1cc8b
143c3861400
152371bd27a
hex154e7f2e8

5719454440 has 144 divisors (see below), whose sum is σ = 15306658020. Its totient is φ = 1917780480.

The previous prime is 5719454383. The next prime is 5719454441. The reversal of 5719454440 is 444549175.

It can be written as a sum of positive squares in 2 ways, for example, as 5528517316 + 190937124 = 74354^2 + 13818^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5719454441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4328980 + ... + 4330300.

Almost surely, 25719454440 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 5719454440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7653329010).

5719454440 is an abundant number, since it is smaller than the sum of its proper divisors (9587203580).

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

5719454440 is a wasteful number, since it uses less digits than its factorization.

5719454440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The square root of 5719454440 is about 75627.0747814564. The cubic root of 5719454440 is about 1788.3459476713.

The spelling of 5719454440 in words is "five billion, seven hundred nineteen million, four hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 49 56 70 94 98 140 188 196 235 245 280 329 376 392 470 490 658 940 980 1316 1321 1645 1880 1960 2209 2303 2632 2642 3290 4418 4606 5284 6580 6605 8836 9212 9247 10568 11045 11515 13160 13210 15463 17672 18424 18494 22090 23030 26420 30926 36988 44180 46060 46235 52840 61852 62087 64729 73976 77315 88360 92120 92470 108241 123704 124174 129458 154630 184940 216482 248348 258916 309260 310435 323645 369880 432964 434609 496696 517832 541205 618520 620870 647290 865928 869218 1082410 1241740 1294580 1738436 2164820 2173045 2483480 2589160 2918089 3042263 3476872 4329640 4346090 5836178 6084526 8692180 11672356 12169052 14590445 15211315 17384360 20426623 23344712 24338104 29180890 30422630 40853246 58361780 60845260 81706492 102133115 116723560 121690520 142986361 163412984 204266230 285972722 408532460 571945444 714931805 817064920 1143890888 1429863610 2859727220 5719454440