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2025144032 = 251912726227
BaseRepresentation
bin111100010110101…
…0011111011100000
312020010122222100112
41320231103323200
513121414102112
6532541510452
7101120304002
oct17055237340
95203588315
102025144032
1194a16075a
12486272428
1326373bca2
14152d62372
15bcbcca22
hex78b53ee0

2025144032 has 48 divisors (see below), whose sum is σ = 4230051840. Its totient is φ = 951689088.

The previous prime is 2025144019. The next prime is 2025144059. The reversal of 2025144032 is 2304415202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2025143989 and 2025144007.

It is a congruent number.

It is an unprimeable number.

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, 64103 + ... + 90329.

It is an arithmetic number, because the mean of its divisors is an integer number (88126080).

Almost surely, 22025144032 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 2025144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115025920).

2025144032 is an abundant number, since it is smaller than the sum of its proper divisors (2204907808).

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

2025144032 is a wasteful number, since it uses less digits than its factorization.

2025144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26383 (or 26375 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2025144032 is about 45001.6003270995. The cubic root of 2025144032 is about 1265.1789926226.

Adding to 2025144032 its reverse (2304415202), we get a palindrome (4329559234).

The spelling of 2025144032 in words is "two billion, twenty-five million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 127 152 254 304 508 608 1016 2032 2413 4064 4826 9652 19304 26227 38608 52454 77216 104908 209816 419632 498313 839264 996626 1993252 3330829 3986504 6661658 7973008 13323316 15946016 26646632 53293264 63285751 106586528 126571502 253143004 506286008 1012572016 2025144032