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9960048 = 2432741241
BaseRepresentation
bin100101111111…
…101001110000
3200202000121200
4211333221300
510022210143
6553251200
7150442020
oct45775160
920660550
109960048
11569314a
123403b00
1320a9627
141473a80
15d1b1d3
hex97fa70

9960048 has 120 divisors (see below), whose sum is σ = 32768736. Its totient is φ = 2764800.

The previous prime is 9960043. The next prime is 9960053. The reversal of 9960048 is 8400699.

9960048 is a `hidden beast` number, since 9 + 9 + 600 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (9960043) and next prime (9960053).

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 = 9959994 and 9960021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9960043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41208 + ... + 41448.

Almost surely, 29960048 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 9960048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16384368).

9960048 is an abundant number, since it is smaller than the sum of its proper divisors (22808688).

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

9960048 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (9960047) it forms an eRAP, since the sums of their prime factors are consecutive (302 and 303).

9960048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9960048 is about 3155.9543722937. The cubic root of 9960048 is about 215.1561728118.

The spelling of 9960048 in words is "nine million, nine hundred sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 72 82 84 112 123 126 144 164 168 241 246 252 287 328 336 369 482 492 504 574 656 723 738 861 964 984 1008 1148 1446 1476 1687 1722 1928 1968 2169 2296 2583 2892 2952 3374 3444 3856 4338 4592 5061 5166 5784 5904 6748 6888 8676 9881 10122 10332 11568 13496 13776 15183 17352 19762 20244 20664 26992 29643 30366 34704 39524 40488 41328 59286 60732 69167 79048 80976 88929 118572 121464 138334 158096 177858 207501 237144 242928 276668 355716 415002 474288 553336 622503 711432 830004 1106672 1245006 1422864 1660008 2490012 3320016 4980024 9960048