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995442400 = 255229107401
BaseRepresentation
bin111011010101010…
…011111011100000
32120101002201021001
4323111103323200
54014313124100
6242435441344
733445056301
oct7325237340
92511081231
10995442400
114709a0677
12239456254
1312b302894
14962c27a8
155c5d0d6a
hex3b553ee0

995442400 has 144 divisors (see below), whose sum is σ = 2543743440. Its totient is φ = 379904000.

The previous prime is 995442397. The next prime is 995442419. The reversal of 995442400 is 4244599.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 995442400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2482200 + ... + 2482600.

It is an arithmetic number, because the mean of its divisors is an integer number (17664885).

Almost surely, 2995442400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 995442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271871720).

995442400 is an abundant number, since it is smaller than the sum of its proper divisors (1548301040).

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

995442400 is a wasteful number, since it uses less digits than its factorization.

995442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 995442400 is about 31550.6323232990. The cubic root of 995442400 is about 998.4784861698.

Adding to 995442400 its reverse (4244599), we get a palindrome (999686999).

The spelling of 995442400 in words is "nine hundred ninety-five million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 107 116 145 160 200 214 232 290 400 401 428 464 535 580 725 800 802 856 928 1070 1160 1450 1604 1712 2005 2140 2320 2675 2900 3103 3208 3424 4010 4280 4640 5350 5800 6206 6416 8020 8560 10025 10700 11600 11629 12412 12832 15515 16040 17120 20050 21400 23200 23258 24824 31030 32080 40100 42800 42907 46516 49648 58145 62060 64160 77575 80200 85600 85814 93032 99296 116290 124120 155150 160400 171628 186064 214535 232580 248240 290725 310300 320800 343256 372128 429070 465160 496480 581450 620600 686512 858140 930320 1072675 1162900 1241200 1244303 1373024 1716280 1860640 2145350 2325800 2482400 2488606 3432560 4290700 4651600 4977212 6221515 6865120 8581400 9303200 9954424 12443030 17162800 19908848 24886060 31107575 34325600 39817696 49772120 62215150 99544240 124430300 199088480 248860600 497721200 995442400