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248444416 = 2911311423
BaseRepresentation
bin11101100111011…
…11011000000000
3122022111021200001
432303233120000
51002100210131
640353005344
76104512513
oct1663573000
9568437601
10248444416
11118270a70
126b253854
133c61963c
1424dd2d7a
1516c28261
hexecef600

248444416 has 80 divisors (see below), whose sum is σ = 559392768. Its totient is φ = 109209600.

The previous prime is 248444393. The next prime is 248444531. The reversal of 248444416 is 614444842.

248444416 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173881 + ... + 175303.

Almost surely, 2248444416 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 248444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279696384).

248444416 is an abundant number, since it is smaller than the sum of its proper divisors (310948352).

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

248444416 is a wasteful number, since it uses less digits than its factorization.

248444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1467 counting only the distinct ones).

The product of its digits is 98304, while the sum is 37.

The square root of 248444416 is about 15762.1196544120. The cubic root of 248444416 is about 628.6511968031.

The spelling of 248444416 in words is "two hundred forty-eight million, four hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 992 1364 1408 1423 1984 2728 2816 2846 3968 5456 5632 5692 7936 10912 11384 15653 15872 21824 22768 31306 43648 44113 45536 62612 87296 88226 91072 125224 174592 176452 182144 250448 352904 364288 485243 500896 705808 728576 970486 1001792 1411616 1940972 2003584 2823232 3881944 4007168 5646464 7763888 8014336 11292928 15527776 22585856 31055552 62111104 124222208 248444416