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2025474048 = 211321379107
BaseRepresentation
bin111100010111010…
…0100100000000000
312020011021202001100
41320232210200000
513122010132143
6532552534400
7101123150103
oct17056444000
95204252040
102025474048
1194a3666a4
124863b1400
13263826270
1415300a73a
15bcc456d3
hex78ba4800

2025474048 has 288 divisors, whose sum is σ = 6439305600. Its totient is φ = 609583104.

The previous prime is 2025473981. The next prime is 2025474053. The reversal of 2025474048 is 8404745202.

2025474048 is a `hidden beast` number, since 202 + 5 + 47 + 404 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 18929611 + ... + 18929717.

It is an arithmetic number, because the mean of its divisors is an integer number (22358700).

Almost surely, 22025474048 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 2025474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219652800).

2025474048 is an abundant number, since it is smaller than the sum of its proper divisors (4413831552).

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

2025474048 is a wasteful number, since it uses less digits than its factorization.

2025474048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2025474048 is about 45005.2668917761. The cubic root of 2025474048 is about 1265.2477131064.

The spelling of 2025474048 in words is "two billion, twenty-five million, four hundred seventy-four thousand, forty-eight".