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2026319568 = 243713523887
BaseRepresentation
bin111100011000111…
…0010111011010000
312020012212200212220
41320301302323100
513122214211233
6533023021040
7101133301140
oct17061627320
95205780786
102026319568
1194a893979
1248673a780
13263a61080
1415318a920
15bcd60eb3
hex78c72ed0

2026319568 has 160 divisors (see below), whose sum is σ = 6462253056. Its totient is φ = 532790784.

The previous prime is 2026319551. The next prime is 2026319579. The reversal of 2026319568 is 8659136202.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2284021 + ... + 2284907.

Almost surely, 22026319568 is an apocalyptic number.

2026319568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2026319568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231126528).

2026319568 is an abundant number, since it is smaller than the sum of its proper divisors (4435933488).

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

2026319568 is a wasteful number, since it uses less digits than its factorization.

2026319568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2026319568 is about 45014.6594788853. The cubic root of 2026319568 is about 1265.4237448889.

The spelling of 2026319568 in words is "two billion, twenty-six million, three hundred nineteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 523 546 624 728 887 1046 1092 1456 1569 1774 2092 2184 2661 3138 3548 3661 4184 4368 5322 6209 6276 6799 7096 7322 8368 10644 10983 11531 12418 12552 13598 14192 14644 18627 20397 21288 21966 23062 24836 25104 27196 29288 34593 37254 40794 42576 43932 46124 47593 49672 54392 58576 69186 74508 80717 81588 87864 92248 95186 99344 108784 138372 142779 149016 161434 163176 175728 184496 190372 242151 276744 285558 298032 322868 326352 380744 463901 484302 553488 571116 645736 761488 927802 968604 1142232 1291472 1391703 1855604 1937208 2284464 2783406 3247307 3711208 3874416 5566812 6030713 6494614 7422416 9741921 11133624 12061426 12989228 18092139 19483842 22267248 24122852 25978456 36184278 38967684 42214991 48245704 51956912 72368556 77935368 84429982 96491408 126644973 144737112 155870736 168859964 253289946 289474224 337719928 506579892 675439856 1013159784 2026319568