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2744280048 = 2431919915121
BaseRepresentation
bin1010001110010010…
…0110001111110000
321002020211212111210
42203210212033300
521110013430143
61132151240120
7125001665316
oct24344461760
97066755453
102744280048
111189090244
12647079040
1334971b463
141c067c0b6
15110dd0033
hexa39263f0

2744280048 has 80 divisors (see below), whose sum is σ = 7500512000. Its totient is φ = 862202880.

The previous prime is 2744280037. The next prime is 2744280073. The reversal of 2744280048 is 8400824472.

It is a junction number, because it is equal to n+sod(n) for n = 2744279988 and 2744280015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173928 + ... + 189048.

It is an arithmetic number, because the mean of its divisors is an integer number (93756400).

Almost surely, 22744280048 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 2744280048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750256000).

2744280048 is an abundant number, since it is smaller than the sum of its proper divisors (4756231952).

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

2744280048 is a wasteful number, since it uses less digits than its factorization.

2744280048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15350 (or 15344 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 2744280048 is about 52385.8764172176. The cubic root of 2744280048 is about 1400.0476255907.

The spelling of 2744280048 in words is "two billion, seven hundred forty-four million, two hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 199 228 304 398 456 597 796 912 1194 1592 2388 3184 3781 4776 7562 9552 11343 15121 15124 22686 30242 30248 45363 45372 60484 60496 90726 90744 120968 181452 181488 241936 287299 362904 574598 725808 861897 1149196 1723794 2298392 3009079 3447588 4596784 6018158 6895176 9027237 12036316 13790352 18054474 24072632 36108948 48145264 57172501 72217896 114345002 144435792 171517503 228690004 343035006 457380008 686070012 914760016 1372140024 2744280048