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48541392 = 24321779251
BaseRepresentation
bin1011100100101…
…0111011010000
310101100011021100
42321022323100
544411311032
64452224400
71126411044
oct271127320
9111304240
1048541392
1125444959
121430b100
13a097523
146638024
1543dc97c
hex2e4aed0

48541392 has 120 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 14976000.

The previous prime is 48541387. The next prime is 48541393. The reversal of 48541392 is 29314584.

48541392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (48541393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193267 + ... + 193517.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 248541392 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 48541392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

48541392 is an abundant number, since it is smaller than the sum of its proper divisors (97699248).

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

48541392 is a wasteful number, since it uses less digits than its factorization.

48541392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 48541392 is about 6967.1652772128. The cubic root of 48541392 is about 364.7853670262.

The spelling of 48541392 in words is "forty-eight million, five hundred forty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 79 102 136 144 153 158 204 237 251 272 306 316 408 474 502 612 632 711 753 816 948 1004 1224 1264 1343 1422 1506 1896 2008 2259 2448 2686 2844 3012 3792 4016 4029 4267 4518 5372 5688 6024 8058 8534 9036 10744 11376 12048 12087 12801 16116 17068 18072 19829 21488 24174 25602 32232 34136 36144 38403 39658 48348 51204 59487 64464 68272 76806 79316 96696 102408 118974 153612 158632 178461 193392 204816 237948 307224 317264 337093 356922 475896 614448 674186 713844 951792 1011279 1348372 1427688 2022558 2696744 2855376 3033837 4045116 5393488 6067674 8090232 12135348 16180464 24270696 48541392