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2026725520 = 245591074013
BaseRepresentation
bin111100011001101…
…0110000010010000
312020020122022202011
41320303112002100
513122320204040
6533035432304
7101136611521
oct17063260220
95206568664
102026725520
11950040976
124868b5694
13263b73a91
14153254848
15bcde13ea
hex78cd6090

2026725520 has 80 divisors (see below), whose sum is σ = 4837993920. Its totient is φ = 789304832.

The previous prime is 2026725517. The next prime is 2026725539. The reversal of 2026725520 is 255276202.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503034 + ... + 507046.

It is an arithmetic number, because the mean of its divisors is an integer number (60474924).

Almost surely, 22026725520 is an apocalyptic number.

2026725520 is a gapful number since it is divisible by the number (20) 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 2026725520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418996960).

2026725520 is an abundant number, since it is smaller than the sum of its proper divisors (2811268400).

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

2026725520 is a wasteful number, since it uses less digits than its factorization.

2026725520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 2026725520 is about 45019.1683619322. The cubic root of 2026725520 is about 1265.5082440645.

The spelling of 2026725520 in words is "two billion, twenty-six million, seven hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 107 118 214 236 295 428 472 535 590 856 944 1070 1180 1712 2140 2360 4013 4280 4720 6313 8026 8560 12626 16052 20065 25252 31565 32104 40130 50504 63130 64208 80260 101008 126260 160520 236767 252520 321040 429391 473534 505040 858782 947068 1183835 1717564 1894136 2146955 2367670 3435128 3788272 4293910 4735340 6870256 8587820 9470680 17175640 18941360 25334069 34351280 50668138 101336276 126670345 202672552 253340690 405345104 506681380 1013362760 2026725520