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248330448 = 2435232777
BaseRepresentation
bin11101100110100…
…11100011010000
3122022021111100000
432303103203100
51002033033243
640350330000
76103526322
oct1663234320
9568244300
10248330448
111181a3383
126b1b9900
133c5a97c2
1424da3612
1516c045d3
hexecd38d0

248330448 has 120 divisors (see below), whose sum is σ = 752326848. Its totient is φ = 79149312.

The previous prime is 248330389. The next prime is 248330477. The reversal of 248330448 is 844033842.

248330448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2483304482 = 123336022807761408, which contains 22 as substring.

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

It is a congruent number.

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, 88036 + ... + 90812.

Almost surely, 2248330448 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 248330448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376163424).

248330448 is an abundant number, since it is smaller than the sum of its proper divisors (503996400).

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

248330448 is a wasteful number, since it uses less digits than its factorization.

248330448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 248330448 is about 15758.5039899097. The cubic root of 248330448 is about 628.5550558112. Note that the first 3 decimals are identical.

The spelling of 248330448 in words is "two hundred forty-eight million, three hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 324 368 414 432 486 552 621 648 828 972 1104 1242 1296 1656 1863 1944 2484 2777 3312 3726 3888 4968 5554 5589 7452 8331 9936 11108 11178 14904 16662 22216 22356 24993 29808 33324 44432 44712 49986 63871 66648 74979 89424 99972 127742 133296 149958 191613 199944 224937 255484 299916 383226 399888 449874 510968 574839 599832 674811 766452 899748 1021936 1149678 1199664 1349622 1532904 1724517 1799496 2299356 2699244 3065808 3449034 3598992 4598712 5173551 5398488 6898068 9197424 10347102 10796976 13796136 15520653 20694204 27592272 31041306 41388408 62082612 82776816 124165224 248330448