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2448725216 = 25723150377
BaseRepresentation
bin1001000111110100…
…1001010011100000
320022122201010111112
42101331021103200
520003333201331
61042552402452
7114452551400
oct22175112340
96278633445
102448725216
111047272553
125840a6428
13300418a42
14193304800
15e4e9d32b
hex91f494e0

2448725216 has 72 divisors (see below), whose sum is σ = 5789036736. Its totient is φ = 1015580160.

The previous prime is 2448725143. The next prime is 2448725243. The reversal of 2448725216 is 6125278442.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23420 + ... + 73796.

It is an arithmetic number, because the mean of its divisors is an integer number (80403288).

Almost surely, 22448725216 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 2448725216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894518368).

2448725216 is an abundant number, since it is smaller than the sum of its proper divisors (3340311520).

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

2448725216 is a wasteful number, since it uses less digits than its factorization.

2448725216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50432 (or 50417 counting only the distinct ones).

The product of its digits is 215040, while the sum is 41.

The square root of 2448725216 is about 49484.5957445345. The cubic root of 2448725216 is about 1347.8658949028.

The spelling of 2448725216 in words is "two billion, four hundred forty-eight million, seven hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 392 434 496 784 868 992 1519 1568 1736 3038 3472 6076 6944 12152 24304 48608 50377 100754 201508 352639 403016 705278 806032 1410556 1561687 1612064 2468473 2821112 3123374 4936946 5642224 6246748 9873892 10931809 11284448 12493496 19747784 21863618 24986992 39495568 43727236 49973984 76522663 78991136 87454472 153045326 174908944 306090652 349817888 612181304 1224362608 2448725216