Search a number
-
+
48809088 = 273329487
BaseRepresentation
bin1011101000110…
…0010010000000
310101211202111000
42322030102000
544443342323
64502052000
71131604356
oct272142200
9111752430
1048809088
1125607a99
121441a000
13a15c323
1466a77d6
154441e43
hex2e8c480

48809088 has 128 divisors (see below), whose sum is σ = 149328000. Its totient is φ = 15676416.

The previous prime is 48809087. The next prime is 48809093. The reversal of 48809088 is 88090884.

48809088 is a `hidden beast` number, since 488 + 0 + 90 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (48809083) 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, 99981 + ... + 100467.

It is an arithmetic number, because the mean of its divisors is an integer number (1166625).

Almost surely, 248809088 is an apocalyptic number.

48809088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48809088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74664000).

48809088 is an abundant number, since it is smaller than the sum of its proper divisors (100518912).

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

48809088 is a wasteful number, since it uses less digits than its factorization.

48809088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 48809088 is about 6986.3501200555. The cubic root of 48809088 is about 365.4547107069.

The spelling of 48809088 in words is "forty-eight million, eight hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 487 522 576 696 783 864 928 974 1044 1152 1392 1461 1566 1728 1856 1948 2088 2784 2922 3132 3456 3712 3896 4176 4383 5568 5844 6264 7792 8352 8766 11136 11688 12528 13149 14123 15584 16704 17532 23376 25056 26298 28246 31168 33408 35064 42369 46752 50112 52596 56492 62336 70128 84738 93504 100224 105192 112984 127107 140256 169476 187008 210384 225968 254214 280512 338952 381321 420768 451936 508428 561024 677904 762642 841536 903872 1016856 1355808 1525284 1683072 1807744 2033712 2711616 3050568 4067424 5423232 6101136 8134848 12202272 16269696 24404544 48809088