Search a number
-
+
1425858432 = 27322316651
BaseRepresentation
bin101010011111100…
…1101111110000000
310200101000010001120
41110333031332000
510410004432212
6353253032240
750222411445
oct12477157600
93611003046
101425858432
116719505a9
12339625680
1319953361b
14d75239cc
15852a188c
hex54fcdf80

1425858432 has 64 divisors (see below), whose sum is σ = 3804648960. Its totient is φ = 473126400.

The previous prime is 1425858407. The next prime is 1425858437. The reversal of 1425858432 is 2348585241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1425858437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77307 + ... + 93957.

It is an arithmetic number, because the mean of its divisors is an integer number (59447640).

Almost surely, 21425858432 is an apocalyptic number.

1425858432 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 1425858432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902324480).

1425858432 is an abundant number, since it is smaller than the sum of its proper divisors (2378790528).

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

1425858432 is a wasteful number, since it uses less digits than its factorization.

1425858432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16891 (or 16879 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 1425858432 is about 37760.5406740952. The cubic root of 1425858432 is about 1125.5344770964.

The spelling of 1425858432 in words is "one billion, four hundred twenty-five million, eight hundred fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 384 446 669 892 1338 1784 2676 3568 5352 7136 10704 14272 16651 21408 28544 33302 42816 49953 66604 85632 99906 133208 199812 266416 399624 532832 799248 1065664 1598496 2131328 3196992 3713173 6393984 7426346 11139519 14852692 22279038 29705384 44558076 59410768 89116152 118821536 178232304 237643072 356464608 475286144 712929216 1425858432