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28759950 = 2325279809
BaseRepresentation
bin110110110110…
…1011110001110
32000010011020100
41231231132032
524330304300
62504231530
7466312152
oct155553616
960104210
1028759950
111526385a
12976b5a6
135c5c72b
143b69062
1527d1700
hex1b6d78e

28759950 has 72 divisors (see below), whose sum is σ = 78343200. Its totient is φ = 7562880.

The previous prime is 28759943. The next prime is 28759957. The reversal of 28759950 is 5995782.

It is a happy number.

28759950 is a `hidden beast` number, since 2 + 8 + 7 + 599 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (28759943) and next prime (28759957).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 28759896 and 28759905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28759957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35146 + ... + 35954.

It is an arithmetic number, because the mean of its divisors is an integer number (1088100).

Almost surely, 228759950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28759950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39171600).

28759950 is an abundant number, since it is smaller than the sum of its proper divisors (49583250).

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

28759950 is a wasteful number, since it uses less digits than its factorization.

28759950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 28759950 is about 5362.8304094014. The cubic root of 28759950 is about 306.3816205029.

The spelling of 28759950 in words is "twenty-eight million, seven hundred fifty-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 79 90 150 158 225 237 395 450 474 711 790 809 1185 1422 1618 1975 2370 2427 3555 3950 4045 4854 5925 7110 7281 8090 11850 12135 14562 17775 20225 24270 35550 36405 40450 60675 63911 72810 121350 127822 182025 191733 319555 364050 383466 575199 639110 958665 1150398 1597775 1917330 2875995 3195550 4793325 5751990 9586650 14379975 28759950