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2026190628 = 223271117193173
BaseRepresentation
bin111100011000101…
…0011011100100100
312020012122011000100
41320301103130210
513122201100003
6533020144100
7101132223210
oct17061233444
95205564010
102026190628
1194a806010
12486698030
13263a17487
14153155940
15bcd37ba3
hex78c53724

2026190628 has 576 divisors, whose sum is σ = 7447265280. Its totient is φ = 447897600.

The previous prime is 2026190599. The next prime is 2026190669. The reversal of 2026190628 is 8260916202.

It is a happy number.

2026190628 is a `hidden beast` number, since 2 + 0 + 26 + 1 + 9 + 0 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2026190592 and 2026190601.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27756000 + ... + 27756072.

It is an arithmetic number, because the mean of its divisors is an integer number (12929280).

Almost surely, 22026190628 is an apocalyptic number.

2026190628 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 2026190628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723632640).

2026190628 is an abundant number, since it is smaller than the sum of its proper divisors (5421074652).

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

2026190628 is a wasteful number, since it uses less digits than its factorization.

2026190628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2026190628 is about 45013.2272559967. The cubic root of 2026190628 is about 1265.3969035816.

It can be divided in two parts, 20261 and 90628, that added together give a square (110889 = 3332).

The spelling of 2026190628 in words is "two billion, twenty-six million, one hundred ninety thousand, six hundred twenty-eight".