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48012384 = 2537371931
BaseRepresentation
bin1011011100100…
…1110001100000
310100100021121110
42313021301200
544242344014
64433023320
71122045540
oct267116140
9110307543
1048012384
1125113462
12140b4b40
139c407c4
14653b320
154335d59
hex2dc9c60

48012384 has 96 divisors (see below), whose sum is σ = 148006656. Its totient is φ = 13340160.

The previous prime is 48012383. The next prime is 48012409. The reversal of 48012384 is 48321084.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48012383) 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, 23899 + ... + 25829.

It is an arithmetic number, because the mean of its divisors is an integer number (1541736).

Almost surely, 248012384 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 48012384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74003328).

48012384 is an abundant number, since it is smaller than the sum of its proper divisors (99994272).

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

48012384 is a wasteful number, since it uses less digits than its factorization.

48012384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 48012384 is about 6929.0969108535. The cubic root of 48012384 is about 363.4553703531.

The spelling of 48012384 in words is "forty-eight million, twelve thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 1931 2072 3108 3552 3862 4144 5793 6216 7724 8288 11586 12432 13517 15448 23172 24864 27034 30896 40551 46344 54068 61792 71447 81102 92688 108136 142894 162204 185376 214341 216272 285788 324408 428682 432544 500129 571576 648816 857364 1000258 1143152 1297632 1500387 1714728 2000516 2286304 3000774 3429456 4001032 6001548 6858912 8002064 12003096 16004128 24006192 48012384