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41082880 = 21351759
BaseRepresentation
bin1001110010111…
…0000000000000
32212022020010011
42130232000000
541004123010
64024314304
71006125106
oct234560000
985266104
1041082880
11212101a3
1211912994
1386856c7
145655c76
153917a8a
hex272e000

41082880 has 112 divisors (see below), whose sum is σ = 106161840. Its totient is φ = 15204352.

The previous prime is 41082871. The next prime is 41082907. The reversal of 41082880 is 8828014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696291 + ... + 696349.

Almost surely, 241082880 is an apocalyptic number.

41082880 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 41082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53080920).

41082880 is an abundant number, since it is smaller than the sum of its proper divisors (65078960).

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

41082880 is an equidigital number, since it uses as much as digits as its factorization.

41082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 41082880 is about 6409.5928107798. The cubic root of 41082880 is about 345.0539158193.

The spelling of 41082880 in words is "forty-one million, eighty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 59 64 68 80 85 118 128 136 160 170 236 256 272 295 320 340 472 512 544 590 640 680 944 1003 1024 1088 1180 1280 1360 1888 2006 2048 2176 2360 2560 2720 3776 4012 4096 4352 4720 5015 5120 5440 7552 8024 8192 8704 9440 10030 10240 10880 15104 16048 17408 18880 20060 20480 21760 30208 32096 34816 37760 40120 40960 43520 60416 64192 69632 75520 80240 87040 120832 128384 139264 151040 160480 174080 241664 256768 302080 320960 348160 483328 513536 604160 641920 696320 1027072 1208320 1283840 2054144 2416640 2567680 4108288 5135360 8216576 10270720 20541440 41082880