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1425402400 = 255217163643
BaseRepresentation
bin101010011110101…
…1110101000100000
310200100010221111111
41110331132220200
510404400334100
6353235153104
750215502062
oct12475365040
93610127444
101425402400
11671669a14
12339445794
13199403b96
14d7445732
15852116ba
hex54f5ea20

1425402400 has 144 divisors (see below), whose sum is σ = 3712824864. Its totient is φ = 532500480.

The previous prime is 1425402379. The next prime is 1425402427. The reversal of 1425402400 is 42045241.

It is a happy 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, 2216479 + ... + 2217121.

It is an arithmetic number, because the mean of its divisors is an integer number (25783506).

Almost surely, 21425402400 is an apocalyptic number.

1425402400 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 1425402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856412432).

1425402400 is an abundant number, since it is smaller than the sum of its proper divisors (2287422464).

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

1425402400 is a wasteful number, since it uses less digits than its factorization.

1425402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 1425402400 is about 37754.5017183382. The cubic root of 1425402400 is about 1125.4144711506.

Adding to 1425402400 its reverse (42045241), we get a palindrome (1467447641).

The spelling of 1425402400 in words is "one billion, four hundred twenty-five million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 163 170 200 272 326 340 400 425 544 643 652 680 800 815 850 1286 1304 1360 1630 1700 2572 2608 2720 2771 3215 3260 3400 4075 5144 5216 5542 6430 6520 6800 8150 10288 10931 11084 12860 13040 13600 13855 16075 16300 20576 21862 22168 25720 26080 27710 32150 32600 43724 44336 51440 54655 55420 64300 65200 69275 87448 88672 102880 104809 109310 110840 128600 130400 138550 174896 209618 218620 221680 257200 273275 277100 349792 419236 437240 443360 514400 524045 546550 554200 838472 874480 1048090 1093100 1108400 1676944 1748960 1781753 2096180 2186200 2216800 2620225 3353888 3563506 4192360 4372400 5240450 7127012 8384720 8744800 8908765 10480900 14254024 16769440 17817530 20961800 28508048 35635060 41923600 44543825 57016096 71270120 83847200 89087650 142540240 178175300 285080480 356350600 712701200 1425402400