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1448070048 = 2535732551
BaseRepresentation
bin101011001001111…
…1100101110100000
310201220210120200000
41112103330232200
510431201220143
6355405100000
750612251365
oct12623745640
93656716600
101448070048
11683441507
12344b57600
131a100c5a9
14da46646c
15871dcbd3
hex564fcba0

1448070048 has 144 divisors (see below), whose sum is σ = 4330662336. Its totient is φ = 475891200.

The previous prime is 1448070007. The next prime is 1448070067. The reversal of 1448070048 is 8400708441.

It is a happy number.

1448070048 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1448069994 and 1448070021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566373 + ... + 568923.

It is an arithmetic number, because the mean of its divisors is an integer number (30074044).

Almost surely, 21448070048 is an apocalyptic number.

1448070048 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 1448070048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165331168).

1448070048 is an abundant number, since it is smaller than the sum of its proper divisors (2882592288).

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

1448070048 is an equidigital number, since it uses as much as digits as its factorization.

1448070048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1448070048 is about 38053.5155800354. The cubic root of 1448070048 is about 1131.3488078362.

Adding to 1448070048 its reverse (8400708441), we get a palindrome (9848778489).

The spelling of 1448070048 in words is "one billion, four hundred forty-eight million, seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 81 96 108 144 146 162 216 219 243 288 292 324 432 438 486 584 648 657 864 876 972 1168 1296 1314 1752 1944 1971 2336 2551 2592 2628 3504 3888 3942 5102 5256 5913 7008 7653 7776 7884 10204 10512 11826 15306 15768 17739 20408 21024 22959 23652 30612 31536 35478 40816 45918 47304 61224 63072 68877 70956 81632 91836 94608 122448 137754 141912 183672 186223 189216 206631 244896 275508 283824 367344 372446 413262 551016 558669 567648 619893 734688 744892 826524 1102032 1117338 1239786 1489784 1653048 1676007 2204064 2234676 2479572 2979568 3306096 3352014 4469352 4959144 5028021 5959136 6612192 6704028 8938704 9918288 10056042 13408056 15084063 17877408 19836576 20112084 26816112 30168126 40224168 45252189 53632224 60336252 80448336 90504378 120672504 160896672 181008756 241345008 362017512 482690016 724035024 1448070048