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48012672 = 273971289
BaseRepresentation
bin1011011100100…
…1110110000000
310100100022000010
42313021312000
544242401142
64433024520
71122046431
oct267116600
9110308003
1048012672
11251136a4
12140b5140
139c40986
14653b488
154335e9c
hex2dc9d80

48012672 has 64 divisors (see below), whose sum is σ = 128948400. Its totient is φ = 15826944.

The previous prime is 48012659. The next prime is 48012691. The reversal of 48012672 is 27621084.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36604 + ... + 37892.

Almost surely, 248012672 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 48012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64474200).

48012672 is an abundant number, since it is smaller than the sum of its proper divisors (80935728).

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

48012672 is a wasteful number, since it uses less digits than its factorization.

48012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 48012672 is about 6929.1176927514. The cubic root of 48012672 is about 363.4560970749.

It can be divided in two parts, 48012 and 672, that added together give a palindrome (48684).

The spelling of 48012672 in words is "forty-eight million, twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1164 1289 1552 2328 2578 3104 3867 4656 5156 6208 7734 9312 10312 12416 15468 18624 20624 30936 37248 41248 61872 82496 123744 125033 164992 247488 250066 375099 494976 500132 750198 1000264 1500396 2000528 3000792 4001056 6001584 8002112 12003168 16004224 24006336 48012672