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48065376 = 253312521
BaseRepresentation
bin1011011101011…
…0101101100000
310100102222022010
42313112231200
544301043001
64434112520
71122356202
oct267265540
9110388263
1048065376
112514a257
121411b740
139c5b968
146552772
1543468d6
hex2dd6b60

48065376 has 72 divisors (see below), whose sum is σ = 130623192. Its totient is φ = 15475200.

The previous prime is 48065323. The next prime is 48065387. The reversal of 48065376 is 67356084.

It is a super-3 number, since 3×480653763 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91996 + ... + 92516.

It is an arithmetic number, because the mean of its divisors is an integer number (1814211).

Almost surely, 248065376 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 48065376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65311596).

48065376 is an abundant number, since it is smaller than the sum of its proper divisors (82557816).

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

48065376 is a wasteful number, since it uses less digits than its factorization.

48065376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 48065376 is about 6932.9197312532. The cubic root of 48065376 is about 363.5890382654.

It can be divided in two parts, 480 and 65376, that added together give a palindrome (65856).

The spelling of 48065376 in words is "forty-eight million, sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 521 744 961 992 1042 1488 1563 1922 2084 2883 2976 3126 3844 4168 5766 6252 7688 8336 11532 12504 15376 16151 16672 23064 25008 30752 32302 46128 48453 50016 64604 92256 96906 129208 193812 258416 387624 500681 516832 775248 1001362 1502043 1550496 2002724 3004086 4005448 6008172 8010896 12016344 16021792 24032688 48065376