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48493548 = 223219312287
BaseRepresentation
bin1011100011111…
…1001111101100
310101020201122100
42320333033230
544403243143
64451215100
71126121415
oct270771754
9111221570
1048493548
1125411a14
12142a7490
13a07b80c
14662480c
1543cd6d3
hex2e3f3ec

48493548 has 72 divisors (see below), whose sum is σ = 133253120. Its totient is φ = 14813280.

The previous prime is 48493547. The next prime is 48493561. The reversal of 48493548 is 84539484.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (48493541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20061 + ... + 22347.

Almost surely, 248493548 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 48493548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66626560).

48493548 is an abundant number, since it is smaller than the sum of its proper divisors (84759572).

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

48493548 is a wasteful number, since it uses less digits than its factorization.

48493548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2342 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 48493548 is about 6963.7308965812. The cubic root of 48493548 is about 364.6654794585.

The spelling of 48493548 in words is "forty-eight million, four hundred ninety-three thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 589 684 1116 1178 1767 2287 2356 3534 4574 5301 6861 7068 9148 10602 13722 20583 21204 27444 41166 43453 70897 82332 86906 130359 141794 173812 212691 260718 283588 391077 425382 521436 638073 782154 850764 1276146 1347043 1564308 2552292 2694086 4041129 5388172 8082258 12123387 16164516 24246774 48493548