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1425457200 = 243522351647
BaseRepresentation
bin101010011110110…
…1100000000110000
310200100020201200010
41110331230000300
510404404112300
6353240254520
750216120616
oct12475540060
93610221603
101425457200
116716a7102
12339471440
13199422acb
14d745b6b6
1585222a50
hex54f6c030

1425457200 has 120 divisors (see below), whose sum is σ = 4764837888. Its totient is φ = 363587840.

The previous prime is 1425457193. The next prime is 1425457261. The reversal of 1425457200 is 27545241.

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 (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1777 + ... + 53423.

Almost surely, 21425457200 is an apocalyptic number.

1425457200 is a gapful number since it is divisible by the number (10) 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 1425457200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382418944).

1425457200 is an abundant number, since it is smaller than the sum of its proper divisors (3339380688).

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

1425457200 is a wasteful number, since it uses less digits than its factorization.

1425457200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51691 (or 51680 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 1425457200 is about 37755.2274526323. The cubic root of 1425457200 is about 1125.4288932587.

The spelling of 1425457200 in words is "one billion, four hundred twenty-five million, four hundred fifty-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 138 150 184 200 230 240 276 300 345 368 400 460 552 575 600 690 920 1104 1150 1200 1380 1725 1840 2300 2760 3450 4600 5520 6900 9200 13800 27600 51647 103294 154941 206588 258235 309882 413176 516470 619764 774705 826352 1032940 1187881 1239528 1291175 1549410 2065880 2375762 2479056 2582350 3098820 3563643 3873525 4131760 4751524 5164700 5939405 6197640 7127286 7747050 9503048 10329400 11878810 12395280 14254572 15494100 17818215 19006096 20658800 23757620 28509144 29697025 30988200 35636430 47515240 57018288 59394050 61976400 71272860 89091075 95030480 118788100 142545720 178182150 237576200 285091440 356364300 475152400 712728600 1425457200