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41423200 = 2552713569
BaseRepresentation
bin1001111000000…
…1000101100000
32212221111221121
42132001011200
541101020300
64035502024
71012043230
oct236010540
985844847
1041423200
1121422955
1211a57914
138774590
145703cc0
15398381a
hex2781160

41423200 has 144 divisors (see below), whose sum is σ = 124679520. Its totient is φ = 13086720.

The previous prime is 41423197. The next prime is 41423273. The reversal of 41423200 is 232414.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72516 + ... + 73084.

It is an arithmetic number, because the mean of its divisors is an integer number (865830).

Almost surely, 241423200 is an apocalyptic number.

41423200 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 41423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339760).

41423200 is an abundant number, since it is smaller than the sum of its proper divisors (83256320).

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

41423200 is a wasteful number, since it uses less digits than its factorization.

41423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 41423200 is about 6436.0857669860. The cubic root of 41423200 is about 346.0040762659.

41423200 divided by its sum of digits (16) gives a triangular number (2588950 = T2275).

Adding to 41423200 its reverse (232414), we get a palindrome (41655614).

The spelling of 41423200 in words is "forty-one million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 80 91 100 104 112 130 140 160 175 182 200 208 224 260 280 325 350 364 400 416 455 520 560 569 650 700 728 800 910 1040 1120 1138 1300 1400 1456 1820 2080 2275 2276 2600 2800 2845 2912 3640 3983 4550 4552 5200 5600 5690 7280 7397 7966 9100 9104 10400 11380 14225 14560 14794 15932 18200 18208 19915 22760 28450 29588 31864 36400 36985 39830 45520 51779 56900 59176 63728 72800 73970 79660 91040 99575 103558 113800 118352 127456 147940 159320 184925 199150 207116 227600 236704 258895 295880 318640 369850 398300 414232 455200 517790 591760 637280 739700 796600 828464 1035580 1183520 1294475 1479400 1593200 1656928 2071160 2588950 2958800 3186400 4142320 5177900 5917600 8284640 10355800 20711600 41423200