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248469408 = 253211107733
BaseRepresentation
bin11101100111101…
…01011110100000
3122022112112221200
432303311132200
51002102010113
640353321200
76104645415
oct1663653640
9568475850
10248469408
11118288820
126b266200
133c627b25
1424ddc10c
1516c30873
hexecf57a0

248469408 has 144 divisors (see below), whose sum is σ = 779085216. Its totient is φ = 74488320.

The previous prime is 248469383. The next prime is 248469421. The reversal of 248469408 is 804964842.

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

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, 338610 + ... + 339342.

It is an arithmetic number, because the mean of its divisors is an integer number (5410314).

Almost surely, 2248469408 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 248469408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389542608).

248469408 is an abundant number, since it is smaller than the sum of its proper divisors (530615808).

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

248469408 is a wasteful number, since it uses less digits than its factorization.

248469408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 248469408 is about 15762.9124212501. The cubic root of 248469408 is about 628.6722755943.

The spelling of 248469408 in words is "two hundred forty-eight million, four hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 107 132 144 176 198 214 264 288 321 352 396 428 528 642 733 792 856 963 1056 1177 1284 1466 1584 1712 1926 2199 2354 2568 2932 3168 3424 3531 3852 4398 4708 5136 5864 6597 7062 7704 8063 8796 9416 10272 10593 11728 13194 14124 15408 16126 17592 18832 21186 23456 24189 26388 28248 30816 32252 35184 37664 42372 48378 52776 56496 64504 70368 72567 78431 84744 96756 105552 112992 129008 145134 156862 169488 193512 211104 235293 258016 290268 313724 338976 387024 470586 580536 627448 705879 774048 862741 941172 1161072 1254896 1411758 1725482 1882344 2322144 2509792 2588223 2823516 3450964 3764688 5176446 5647032 6901928 7529376 7764669 10352892 11294064 13803856 15529338 20705784 22588128 27607712 31058676 41411568 62117352 82823136 124234704 248469408