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1425834368 = 27737411049
BaseRepresentation
bin101010011111100…
…1000000110000000
310200100221220001022
41110333020012000
510410003144433
6353252325012
750222251340
oct12477100600
93610856038
101425834368
11671934512
12339613768
1319952569a
14d7518d20
1585299698
hex54fc8180

1425834368 has 128 divisors (see below), whose sum is σ = 3418632000. Its totient is φ = 579502080.

The previous prime is 1425834359. The next prime is 1425834373. The reversal of 1425834368 is 8634385241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 1358708 + ... + 1359756.

Almost surely, 21425834368 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 1425834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709316000).

1425834368 is an abundant number, since it is smaller than the sum of its proper divisors (1992797632).

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

1425834368 is a wasteful number, since it uses less digits than its factorization.

1425834368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1136 counting only the distinct ones).

The product of its digits is 552960, while the sum is 44.

The square root of 1425834368 is about 37760.2220332455. Note that the first 3 decimals coincide. The cubic root of 1425834368 is about 1125.5281452350.

The spelling of 1425834368 in words is "one billion, four hundred twenty-five million, eight hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 41 56 64 74 82 112 128 148 164 224 259 287 296 328 448 518 574 592 656 896 1036 1049 1148 1184 1312 1517 2072 2098 2296 2368 2624 3034 4144 4196 4592 4736 5248 6068 7343 8288 8392 9184 10619 12136 14686 16576 16784 18368 21238 24272 29372 33152 33568 36736 38813 42476 43009 48544 58744 67136 77626 84952 86018 97088 117488 134272 155252 169904 172036 194176 234976 271691 301063 310504 339808 344072 469952 543382 602126 621008 679616 688144 939904 1086764 1204252 1242016 1359232 1376288 1591333 2173528 2408504 2484032 2752576 3182666 4347056 4817008 4968064 5505152 6365332 8694112 9634016 11139331 12730664 17388224 19268032 22278662 25461328 34776448 38536064 44557324 50922656 89114648 101845312 178229296 203690624 356458592 712917184 1425834368