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1425523968 = 28331118749
BaseRepresentation
bin101010011110111…
…1100010100000000
310200100101010021000
41110331330110000
510404413231333
6353241532000
750216516361
oct12475742400
93610333230
101425523968
11671742290
123394a4000
1319944730b
14d7477b68
1585237713
hex54f7c500

1425523968 has 144 divisors (see below), whose sum is σ = 4599000000. Its totient is φ = 431953920.

The previous prime is 1425523961. The next prime is 1425523993. The reversal of 1425523968 is 8693255241.

1425523968 is a `hidden beast` number, since 1 + 4 + 2 + 552 + 3 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1425523961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66658 + ... + 85406.

It is an arithmetic number, because the mean of its divisors is an integer number (31937500).

Almost surely, 21425523968 is an apocalyptic number.

1425523968 is a gapful number since it is divisible by the number (18) 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 1425523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299500000).

1425523968 is an abundant number, since it is smaller than the sum of its proper divisors (3173476032).

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

1425523968 is a wasteful number, since it uses less digits than its factorization.

1425523968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18785 (or 18765 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 1425523968 is about 37756.1116642061. Note that the first 3 decimals coincide. The cubic root of 1425523968 is about 1125.4464645716.

The spelling of 1425523968 in words is "one billion, four hundred twenty-five million, five hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 18749 19008 25344 37498 38016 56247 74996 76032 112494 149992 168741 206239 224988 299984 337482 412478 449976 506223 599968 618717 674964 824956 899952 1012446 1199936 1237434 1349928 1649912 1799904 1856151 2024892 2399872 2474868 2699856 3299824 3599808 3712302 4049784 4799744 4949736 5399712 5568453 6599648 7199616 7424604 8099568 9899472 10799424 11136906 13199296 14399232 14849208 16199136 19798944 21598848 22273812 26398592 29698416 32398272 39597888 43197696 44547624 52797184 59396832 64796544 79195776 89095248 118793664 129593088 158391552 178190496 237587328 356380992 475174656 712761984 1425523968