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48544272 = 243475351
BaseRepresentation
bin1011100100101…
…1101000010000
310101100022020000
42321023220100
544411404042
64452250000
71126422330
oct271135020
9111308200
1048544272
1125447037
1214310900
13a09892a
1466390c0
1543dd74c
hex2e4ba10

48544272 has 100 divisors (see below), whose sum is σ = 160602816. Its totient is φ = 13867200.

The previous prime is 48544267. The next prime is 48544273. The reversal of 48544272 is 27244584.

48544272 is a `hidden beast` number, since 48 + 544 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48544273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6397 + ... + 11747.

Almost surely, 248544272 is an apocalyptic number.

48544272 is a gapful number since it is divisible by the number (42) 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 48544272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80301408).

48544272 is an abundant number, since it is smaller than the sum of its proper divisors (112058544).

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

48544272 is a wasteful number, since it uses less digits than its factorization.

48544272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5363 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 48544272 is about 6967.3719579193. The cubic root of 48544272 is about 364.7925812203.

The spelling of 48544272 in words is "forty-eight million, five hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 5351 9072 10702 16053 21404 32106 37457 42808 48159 64212 74914 85616 96318 112371 128424 144477 149828 192636 224742 256848 288954 299656 337113 385272 433431 449484 577908 599312 674226 770544 866862 898968 1011339 1155816 1348452 1733724 1797936 2022678 2311632 2696904 3034017 3467448 4045356 5393808 6068034 6934896 8090712 12136068 16181424 24272136 48544272