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48339288 = 2333297717
BaseRepresentation
bin1011100001100…
…1100101011000
310100221220001000
42320121211120
544333324123
64444025000
71124606604
oct270314530
9110856030
1048339288
1125317028
1214232160
13a02653a
1465c4504
15439cb43
hex2e19958

48339288 has 64 divisors (see below), whose sum is σ = 138924000. Its totient is φ = 15555456.

The previous prime is 48339281. The next prime is 48339331. The reversal of 48339288 is 88293384.

48339288 is a `hidden beast` number, since 483 + 3 + 92 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48339281) 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, 2406 + ... + 10122.

Almost surely, 248339288 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 48339288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69462000).

48339288 is an abundant number, since it is smaller than the sum of its proper divisors (90584712).

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

48339288 is a wasteful number, since it uses less digits than its factorization.

48339288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7761 (or 7751 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 48339288 is about 6952.6461149695. The cubic root of 48339288 is about 364.2783966894.

The spelling of 48339288 in words is "forty-eight million, three hundred thirty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 7717 15434 23151 30868 46302 61736 69453 92604 138906 185208 208359 223793 277812 416718 447586 555624 671379 833436 895172 1342758 1666872 1790344 2014137 2685516 4028274 5371032 6042411 8056548 12084822 16113096 24169644 48339288