Search a number
-
+
28740744 = 2334172609
BaseRepresentation
bin110110110100…
…0110010001000
32000002011220000
41231220302020
524324200434
62504003000
7466202154
oct155506210
960064800
1028740744
111525038a
129760460
135c53a76
143b62064
1527cab99
hex1b68c88

28740744 has 80 divisors (see below), whose sum is σ = 85268700. Its totient is φ = 9013248.

The previous prime is 28740743. The next prime is 28740773. The reversal of 28740744 is 44704782.

It can be written as a sum of positive squares in 2 ways, for example, as 28196100 + 544644 = 5310^2 + 738^2 .

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 = 28740699 and 28740708.

It is not an unprimeable number, because it can be changed into a prime (28740743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9712 + ... + 12320.

Almost surely, 228740744 is an apocalyptic number.

28740744 is a gapful number since it is divisible by the number (24) 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 28740744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42634350).

28740744 is an abundant number, since it is smaller than the sum of its proper divisors (56527956).

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

28740744 is a wasteful number, since it uses less digits than its factorization.

28740744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 28740744 is about 5361.0394514497. The cubic root of 28740744 is about 306.3134043927.

The spelling of 28740744 in words is "twenty-eight million, seven hundred forty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2609 2754 3672 5218 5508 7827 10436 11016 15654 20872 23481 31308 44353 46962 62616 70443 88706 93924 133059 140886 177412 187848 211329 266118 281772 354824 399177 422658 532236 563544 798354 845316 1064472 1197531 1596708 1690632 2395062 3193416 3592593 4790124 7185186 9580248 14370372 28740744