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48601056 = 2537312333
BaseRepresentation
bin1011100101100…
…1011111100000
310101110012010010
42321121133200
544420213211
64453404520
71130050020
oct271313740
9111405103
1048601056
1125485769
1214339740
13a0b872a
146651a80
1544004a6
hex2e597e0

48601056 has 96 divisors (see below), whose sum is σ = 150571008. Its totient is φ = 13432320.

The previous prime is 48601027. The next prime is 48601057. The reversal of 48601056 is 65010684.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48601057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19666 + ... + 21998.

It is an arithmetic number, because the mean of its divisors is an integer number (1568448).

Almost surely, 248601056 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 48601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75285504).

48601056 is an abundant number, since it is smaller than the sum of its proper divisors (101969952).

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

48601056 is a wasteful number, since it uses less digits than its factorization.

48601056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 48601056 is about 6971.4457611029. The cubic root of 48601056 is about 364.9347628450.

The spelling of 48601056 in words is "forty-eight million, six hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2333 2604 2976 3472 4666 5208 6944 6999 9332 10416 13998 16331 18664 20832 27996 32662 37328 48993 55992 65324 72323 74656 97986 111984 130648 144646 195972 216969 223968 261296 289292 391944 433938 506261 522592 578584 783888 867876 1012522 1157168 1518783 1567776 1735752 2025044 2314336 3037566 3471504 4050088 6075132 6943008 8100176 12150264 16200352 24300528 48601056