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48152412 = 223271129599
BaseRepresentation
bin1011011110101…
…1111101011100
310100121101200200
42313223331130
544311334122
64440023500
71123201020
oct267537534
9110541620
1048152412
11251a9690
1214161b90
139c8c469
146576380
1543625ac
hex2debf5c

48152412 has 144 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 12055680.

The previous prime is 48152411. The next prime is 48152417. The reversal of 48152412 is 21425184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48152411) 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, 80089 + ... + 80687.

It is an arithmetic number, because the mean of its divisors is an integer number (1092000).

Almost surely, 248152412 is an apocalyptic number.

48152412 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 48152412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

48152412 is an abundant number, since it is smaller than the sum of its proper divisors (109095588).

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

48152412 is a wasteful number, since it uses less digits than its factorization.

48152412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 651 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 48152412 is about 6939.1939013116. The cubic root of 48152412 is about 363.8083663029.

Adding to 48152412 its reverse (21425184), we get a palindrome (69577596).

It can be divided in two parts, 4815 and 2412, that added together give a palindrome (7227).

The spelling of 48152412 in words is "forty-eight million, one hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 29 33 36 42 44 58 63 66 77 84 87 99 116 126 132 154 174 198 203 231 252 261 308 319 348 396 406 462 522 599 609 638 693 812 924 957 1044 1198 1218 1276 1386 1797 1827 1914 2233 2396 2436 2772 2871 3594 3654 3828 4193 4466 5391 5742 6589 6699 7188 7308 8386 8932 10782 11484 12579 13178 13398 16772 17371 19767 20097 21564 25158 26356 26796 34742 37737 39534 40194 46123 50316 52113 59301 69484 75474 79068 80388 92246 104226 118602 121597 138369 150948 156339 184492 191081 208452 237204 243194 276738 312678 364791 382162 415107 486388 553476 573243 625356 729582 764324 830214 1094373 1146486 1337567 1459164 1660428 1719729 2188746 2292972 2675134 3439458 4012701 4377492 5350268 6878916 8025402 12038103 16050804 24076206 48152412