Search a number
-
+
1425318912 = 21032295333
BaseRepresentation
bin101010011110100…
…1010010000000000
310200022222200222100
41110331022100000
510404340201122
6353233310400
750215003503
oct12475122000
93608880870
101425318912
11671612216
12339405400
131993a4b94
14d742313a
15851e6aac
hex54f4a400

1425318912 has 132 divisors (see below), whose sum is σ = 4258292220. Its totient is φ = 458637312.

The previous prime is 1425318889. The next prime is 1425318929. The reversal of 1425318912 is 2198135241.

1425318912 is a `hidden beast` number, since 1 + 42 + 531 + 89 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1201038336 + 224280576 = 34656^2 + 14976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264598 + ... + 269930.

Almost surely, 21425318912 is an apocalyptic number.

1425318912 is a gapful number since it is divisible by the number (12) 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 1425318912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129146110).

1425318912 is an abundant number, since it is smaller than the sum of its proper divisors (2832973308).

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

1425318912 is a wasteful number, since it uses less digits than its factorization.

1425318912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 5367 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1425318912 is about 37753.3960326750. The cubic root of 1425318912 is about 1125.3924983056.

The spelling of 1425318912 in words is "one billion, four hundred twenty-five million, three hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2088 2304 2784 3072 3712 4176 4608 5333 5568 7424 8352 9216 10666 11136 14848 15999 16704 21332 22272 29696 31998 33408 42664 44544 47997 63996 66816 85328 89088 95994 127992 133632 154657 170656 191988 255984 267264 309314 341312 383976 463971 511968 618628 682624 767952 927942 1023936 1237256 1365248 1391913 1535904 1855884 2047872 2474512 2730496 2783826 3071808 3711768 4095744 4949024 5460992 5567652 6143616 7423536 8191488 9898048 11135304 12287232 14847072 16382976 19796096 22270608 24574464 29694144 39592192 44541216 49148928 59388288 79184384 89082432 118776576 158368768 178164864 237553152 356329728 475106304 712659456 1425318912