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1425657408 = 26373133389
BaseRepresentation
bin101010011111001…
…1100111001000000
310200100121220022020
41110332130321000
510404432014113
6353244441440
750220613410
oct12476347100
93610556266
101425657408
1167182356a
12339549280
13199492c86
14d74b0640
1585262023
hex54f9ce40

1425657408 has 112 divisors (see below), whose sum is σ = 4325965440. Its totient is φ = 405909504.

The previous prime is 1425657379. The next prime is 1425657421. The reversal of 1425657408 is 8047565241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×14256574083 (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1425657408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418978 + ... + 422366.

Almost surely, 21425657408 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 1425657408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162982720).

1425657408 is an abundant number, since it is smaller than the sum of its proper divisors (2900308032).

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

1425657408 is a wasteful number, since it uses less digits than its factorization.

1425657408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 1425657408 is about 37757.8787539766. The cubic root of 1425657408 is about 1125.4815802890.

The spelling of 1425657408 in words is "one billion, four hundred twenty-five million, six hundred fifty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 313 336 448 626 672 939 1252 1344 1878 2191 2504 3389 3756 4382 5008 6573 6778 7512 8764 10016 10167 13146 13556 15024 17528 20032 20334 23723 26292 27112 30048 35056 40668 47446 52584 54224 60096 70112 71169 81336 94892 105168 108448 140224 142338 162672 189784 210336 216896 284676 325344 379568 420672 569352 650688 759136 1060757 1138704 1518272 2121514 2277408 3182271 4243028 4554816 6364542 7425299 8486056 12729084 14850598 16972112 22275897 25458168 29701196 33944224 44551794 50916336 59402392 67888448 89103588 101832672 118804784 178207176 203665344 237609568 356414352 475219136 712828704 1425657408