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41064450 = 23527237151
BaseRepresentation
bin1001110010100…
…1100000000010
32212021021211120
42130221200002
541003030300
64024053110
71006020300
oct234514002
985237746
1041064450
11211a8369
1211904196
13867a1bb
14564d270
1539123a0
hex2729802

41064450 has 144 divisors (see below), whose sum is σ = 122474304. Its totient is φ = 9072000.

The previous prime is 41064433. The next prime is 41064451. The reversal of 41064450 is 5446014.

It is a self number, because there is not a number n which added to its sum of digits gives 41064450.

It is not an unprimeable number, because it can be changed into a prime (41064451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 271875 + ... + 272025.

It is an arithmetic number, because the mean of its divisors is an integer number (850516).

Almost surely, 241064450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41064450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61237152).

41064450 is an abundant number, since it is smaller than the sum of its proper divisors (81409854).

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

41064450 is a wasteful number, since it uses less digits than its factorization.

41064450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 41064450 is about 6408.1549606732. The cubic root of 41064450 is about 345.0023104235.

It can be divided in two parts, 41064 and 450, that added together give a palindrome (41514).

The spelling of 41064450 in words is "forty-one million, sixty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 37 42 49 50 70 74 75 98 105 111 147 150 151 175 185 210 222 245 259 294 302 350 370 453 490 518 525 555 735 755 777 906 925 1050 1057 1110 1225 1295 1470 1510 1554 1813 1850 2114 2265 2450 2590 2775 3171 3626 3675 3775 3885 4530 5285 5439 5550 5587 6342 6475 7350 7399 7550 7770 9065 10570 10878 11174 11325 12950 14798 15855 16761 18130 19425 22197 22650 26425 27195 27935 31710 33522 36995 38850 39109 44394 45325 52850 54390 55870 73990 78218 79275 83805 90650 110985 117327 135975 139675 158550 167610 184975 195545 221970 234654 271950 273763 279350 369950 391090 419025 547526 554925 586635 821289 838050 977725 1109850 1173270 1368815 1642578 1955450 2737630 2933175 4106445 5866350 6844075 8212890 13688150 20532225 41064450