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48534192 = 2432789541
BaseRepresentation
bin1011100100100…
…1001010110000
310101022210101200
42321021022300
544411043232
64452131200
71126351050
oct271111260
9111283350
1048534192
112543a503
1214306b00
13a094175
146635560
1543da77c
hex2e492b0

48534192 has 120 divisors (see below), whose sum is σ = 157266720. Its totient is φ = 13685760.

The previous prime is 48534181. The next prime is 48534247. The reversal of 48534192 is 29143584.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 89442 + ... + 89982.

It is an arithmetic number, because the mean of its divisors is an integer number (1310556).

Almost surely, 248534192 is an apocalyptic number.

48534192 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 48534192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78633360).

48534192 is an abundant number, since it is smaller than the sum of its proper divisors (108732528).

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

48534192 is a wasteful number, since it uses less digits than its factorization.

48534192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 642 counting only the distinct ones).

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

The square root of 48534192 is about 6966.6485486208. The cubic root of 48534192 is about 364.7673302923.

It can be divided in two parts, 4853 and 4192, that added together give a triangular number (9045 = T134).

The spelling of 48534192 in words is "forty-eight million, five hundred thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 89 112 126 144 168 178 252 267 336 356 504 534 541 623 712 801 1008 1068 1082 1246 1424 1602 1623 1869 2136 2164 2492 3204 3246 3738 3787 4272 4328 4869 4984 5607 6408 6492 7476 7574 8656 9738 9968 11214 11361 12816 12984 14952 15148 19476 22428 22722 25968 29904 30296 34083 38952 44856 45444 48149 60592 68166 77904 89712 90888 96298 136332 144447 181776 192596 272664 288894 337043 385192 433341 545328 577788 674086 770384 866682 1011129 1155576 1348172 1733364 2022258 2311152 2696344 3033387 3466728 4044516 5392688 6066774 6933456 8089032 12133548 16178064 24267096 48534192