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41423400 = 2334522557
BaseRepresentation
bin1001111000000…
…1001000101000
32212221112020000
42132001020220
541101022100
64035503000
71012043634
oct236011050
985845200
1041423400
1121423017
1211a57a60
1387746b5
145703dc4
153983900
hex2781228

41423400 has 120 divisors (see below), whose sum is σ = 143925870. Its totient is φ = 11041920.

The previous prime is 41423399. The next prime is 41423423. The reversal of 41423400 is 432414.

It can be written as a sum of positive squares in 3 ways, for example, as 29354724 + 12068676 = 5418^2 + 3474^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14922 + ... + 17478.

Almost surely, 241423400 is an apocalyptic number.

41423400 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 41423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71962935).

41423400 is an abundant number, since it is smaller than the sum of its proper divisors (102502470).

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

41423400 is a wasteful number, since it uses less digits than its factorization.

41423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 41423400 is about 6436.1013043612. The cubic root of 41423400 is about 346.0046331254.

Adding to 41423400 its reverse (432414), we get a palindrome (41855814).

The spelling of 41423400 in words is "forty-one million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2557 2700 3240 4050 5114 5400 7671 8100 10228 12785 15342 16200 20456 23013 25570 30684 38355 46026 51140 61368 63925 69039 76710 92052 102280 115065 127850 138078 153420 184104 191775 207117 230130 255700 276156 306840 345195 383550 414234 460260 511400 552312 575325 690390 767100 828468 920520 1035585 1150650 1380780 1534200 1656936 1725975 2071170 2301300 2761560 3451950 4142340 4602600 5177925 6903900 8284680 10355850 13807800 20711700 41423400