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48114612 = 223271319773
BaseRepresentation
bin1011011110001…
…0101110110100
310100112110211200
42313202232310
544304131422
64435132500
71122652560
oct267425664
9110473750
1048114612
1125183247
1214144130
139c781b0
1465666a0
1543562ac
hex2de2bb4

48114612 has 144 divisors (see below), whose sum is σ = 157772160. Its totient is φ = 12006144.

The previous prime is 48114611. The next prime is 48114613. The reversal of 48114612 is 21641184.

It is a happy number.

48114612 is a `hidden beast` number, since 48 + 1 + 1 + 4 + 612 = 666.

It is an interprime number because it is at equal distance from previous prime (48114611) and next prime (48114613).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48114611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61858 + ... + 62630.

It is an arithmetic number, because the mean of its divisors is an integer number (1095640).

Almost surely, 248114612 is an apocalyptic number.

48114612 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 48114612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78886080).

48114612 is an abundant number, since it is smaller than the sum of its proper divisors (109657548).

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

48114612 is a wasteful number, since it uses less digits than its factorization.

48114612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 817 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 48114612 is about 6936.4697072791. The cubic root of 48114612 is about 363.7131439613.

Adding to 48114612 its reverse (21641184), we get a palindrome (69755796).

The spelling of 48114612 in words is "forty-eight million, one hundred fourteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 773 798 819 988 1092 1197 1482 1546 1596 1638 1729 2223 2319 2394 2964 3092 3276 3458 4446 4638 4788 5187 5411 6916 6957 8892 9276 10049 10374 10822 13914 14687 15561 16233 20098 20748 21644 27828 29374 30147 31122 32466 40196 44061 48699 58748 60294 62244 64932 70343 88122 90441 97398 102809 120588 132183 140686 176244 180882 190931 194796 205618 211029 264366 281372 308427 361764 381862 411236 422058 528732 572793 616854 633087 763724 844116 925281 1145586 1233708 1266174 1336517 1718379 1850562 2291172 2532348 2673034 3436758 3701124 4009551 5346068 6873516 8019102 12028653 16038204 24057306 48114612