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2026338525 = 345223139313
BaseRepresentation
bin111100011000111…
…0111100011011101
312020012220122220000
41320301313203131
513122220313100
6533023244513
7101133410331
oct17061674335
95205818800
102026338525
1194a8a7142
12486749739
13263a698a3
141531937c1
15bcd66900
hex78c778dd

2026338525 has 120 divisors (see below), whose sum is σ = 3957455040. Its totient is φ = 1023010560.

The previous prime is 2026338499. The next prime is 2026338527. The reversal of 2026338525 is 5258336202.

It is not a de Polignac number, because 2026338525 - 214 = 2026322141 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2026338525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026338527) 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 119 ways as a sum of consecutive naturals, for example, 6473769 + ... + 6474081.

It is an arithmetic number, because the mean of its divisors is an integer number (32978792).

Almost surely, 22026338525 is an apocalyptic number.

2026338525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2026338525 is a deficient number, since it is larger than the sum of its proper divisors (1931116515).

2026338525 is a wasteful number, since it uses less digits than its factorization.

2026338525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2026338525 is about 45014.8700431313. The cubic root of 2026338525 is about 1265.4276910521.

The spelling of 2026338525 in words is "two billion, twenty-six million, three hundred thirty-eight thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 135 139 207 225 313 345 405 417 575 621 675 695 939 1035 1251 1565 1725 1863 2025 2085 2817 3105 3197 3475 3753 4695 5175 6255 7199 7825 8451 9315 9591 10425 11259 14085 15525 15985 18765 21597 23475 25353 28773 31275 35995 42255 43507 46575 47955 56295 64791 70425 79925 86319 93825 107985 126765 130521 143865 179975 194373 211275 217535 239775 258957 281475 323955 391563 431595 539925 583119 633825 652605 719325 971865 1000661 1087675 1174689 1294785 1619775 1957815 2157975 2915595 3001983 3263025 3524067 4859325 5003305 5873445 6473925 9005949 9789075 14577975 15009915 17620335 25016525 27017847 29367225 45029745 75049575 81053541 88101675 135089235 225148725 405267705 675446175 2026338525