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41428160 = 265373499
BaseRepresentation
bin1001111000001…
…0010011000000
32212221202202022
42132002103000
541101200120
64035541012
71012063544
oct236022300
985852668
1041428160
1121426654
1211a5a768
138776907
145705a24
153985025
hex27824c0

41428160 has 56 divisors (see below), whose sum is σ = 101346000. Its totient is φ = 16118784.

The previous prime is 41428159. The next prime is 41428169. The reversal of 41428160 is 6182414.

It is not an unprimeable number, because it can be changed into a prime (41428169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10091 + ... + 13589.

It is an arithmetic number, because the mean of its divisors is an integer number (1809750).

Almost surely, 241428160 is an apocalyptic number.

41428160 is a gapful number since it is divisible by the number (40) 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 41428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50673000).

41428160 is an abundant number, since it is smaller than the sum of its proper divisors (59917840).

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

41428160 is a wasteful number, since it uses less digits than its factorization.

41428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 41428160 is about 6436.4710828217. The cubic root of 41428160 is about 346.0178858519.

The spelling of 41428160 in words is "forty-one million, four hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 3499 5920 6998 11840 13996 17495 27992 34990 55984 69980 111968 129463 139960 223936 258926 279920 517852 559840 647315 1035704 1119680 1294630 2071408 2589260 4142816 5178520 8285632 10357040 20714080 41428160