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28148742 = 233895857
BaseRepresentation
bin110101101100…
…0010000000110
31221222002211000
41223120100012
524201224432
62443154130
7461155206
oct153302006
957862730
1028148742
1114986626
129515946
135aa747b
143a4a406
15271057c
hex1ad8406

28148742 has 32 divisors (see below), whose sum is σ = 63266400. Its totient is φ = 9275904.

The previous prime is 28148741. The next prime is 28148773. The reversal of 28148742 is 24784182.

It is a junction number, because it is equal to n+sod(n) for n = 28148697 and 28148706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28148741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878 + ... + 7734.

It is an arithmetic number, because the mean of its divisors is an integer number (1977075).

Almost surely, 228148742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28148742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31633200).

28148742 is an abundant number, since it is smaller than the sum of its proper divisors (35117658).

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

28148742 is a wasteful number, since it uses less digits than its factorization.

28148742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5957 (or 5951 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 28148742 is about 5305.5388039293. The cubic root of 28148742 is about 304.1956482383.

The spelling of 28148742 in words is "twenty-eight million, one hundred forty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 801 1602 2403 4806 5857 11714 17571 35142 52713 105426 158139 316278 521273 1042546 1563819 3127638 4691457 9382914 14074371 28148742