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41928030 = 2345371399
BaseRepresentation
bin1001111111110…
…0010101011110
32220220011110000
42133330111132
541213144110
64054355130
71016245104
oct237742536
986804400
1041928030
1121738171
121205baa6
1388c02b1
1457d5c74
153a331c0
hex27fc55e

41928030 has 80 divisors (see below), whose sum is σ = 115869600. Its totient is φ = 10870848.

The previous prime is 41928017. The next prime is 41928037. The reversal of 41928030 is 3082914.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41927985 and 41928003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41928037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29271 + ... + 30669.

It is an arithmetic number, because the mean of its divisors is an integer number (1448370).

Almost surely, 241928030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41928030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57934800).

41928030 is an abundant number, since it is smaller than the sum of its proper divisors (73941570).

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

41928030 is a wasteful number, since it uses less digits than its factorization.

41928030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 41928030 is about 6475.1857116225. The cubic root of 41928030 is about 347.4040036408.

The spelling of 41928030 in words is "forty-one million, nine hundred twenty-eight thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 999 1110 1399 1665 1998 2798 2997 3330 4197 4995 5994 6995 8394 9990 12591 13990 14985 20985 25182 29970 37773 41970 51763 62955 75546 103526 113319 125910 155289 188865 226638 258815 310578 377730 465867 517630 566595 776445 931734 1133190 1397601 1552890 2329335 2795202 4192803 4658670 6988005 8385606 13976010 20964015 41928030