Search a number
-
+
48065088 = 2631391801
BaseRepresentation
bin1011011101011…
…0101001000000
310100102221220110
42313112221000
544301040323
64434111320
71122355311
oct267265100
9110387813
1048065088
112514a015
121411b540
139c5b7a6
146552608
154346793
hex2dd6a40

48065088 has 56 divisors (see below), whose sum is σ = 128158240. Its totient is φ = 15897600.

The previous prime is 48065081. The next prime is 48065089. The reversal of 48065088 is 88056084.

It is a super-3 number, since 3×480650883 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48065081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25788 + ... + 27588.

It is an arithmetic number, because the mean of its divisors is an integer number (2288540).

Almost surely, 248065088 is an apocalyptic number.

48065088 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 48065088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64079120).

48065088 is an abundant number, since it is smaller than the sum of its proper divisors (80093152).

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

48065088 is a wasteful number, since it uses less digits than its factorization.

48065088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 48065088 is about 6932.8989607523. The cubic root of 48065088 is about 363.5883120749.

The spelling of 48065088 in words is "forty-eight million, sixty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 1801 2224 3336 3602 4448 5403 6672 7204 8896 10806 13344 14408 21612 26688 28816 43224 57632 86448 115264 172896 250339 345792 500678 751017 1001356 1502034 2002712 3004068 4005424 6008136 8010848 12016272 16021696 24032544 48065088