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28633590 = 2325714481
BaseRepresentation
bin110110100111…
…0100111110110
31222212201220100
41231032213312
524312233330
62501414530
7465244566
oct155164766
958781810
1028633590
1115187927
12970a446
135c1706b
143b34da6
1527a9060
hex1b4e9f6

28633590 has 48 divisors (see below), whose sum is σ = 75512736. Its totient is φ = 7526400.

The previous prime is 28633567. The next prime is 28633607. The reversal of 28633590 is 9533682.

28633590 is a `hidden beast` number, since 2 + 8 + 63 + 3 + 590 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4150 + ... + 8630.

It is an arithmetic number, because the mean of its divisors is an integer number (1573182).

Almost surely, 228633590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28633590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37756368).

28633590 is an abundant number, since it is smaller than the sum of its proper divisors (46879146).

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

28633590 is a wasteful number, since it uses less digits than its factorization.

28633590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4565 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 28633590 is about 5351.0363482227. The cubic root of 28633590 is about 305.9322546428.

The spelling of 28633590 in words is "twenty-eight million, six hundred thirty-three thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 4481 6390 8962 13443 22405 26886 40329 44810 67215 80658 134430 201645 318151 403290 636302 954453 1590755 1908906 2863359 3181510 4772265 5726718 9544530 14316795 28633590