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48041136 = 243211132333
BaseRepresentation
bin1011011101000…
…0110010110000
310100101202001100
42313100302300
544244304021
64433404400
71122225423
oct267206260
9110352040
1048041136
1125133020
1214109700
139c50910
1465479ba
15433e626
hex2dd0cb0

48041136 has 120 divisors (see below), whose sum is σ = 158021136. Its totient is φ = 13432320.

The previous prime is 48041117. The next prime is 48041137. The reversal of 48041136 is 63114084.

It is not an unprimeable number, because it can be changed into a prime (48041137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19426 + ... + 21758.

Almost surely, 248041136 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 48041136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79010568).

48041136 is an abundant number, since it is smaller than the sum of its proper divisors (109980000).

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

48041136 is a wasteful number, since it uses less digits than its factorization.

48041136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48041136 is about 6931.1713295806. The cubic root of 48041136 is about 363.5279070797.

It can be divided in two parts, 480 and 41136, that added together give a triangular number (41616 = T288).

The spelling of 48041136 in words is "forty-eight million, forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2333 2574 3432 4666 5148 6864 6999 9332 10296 13998 18664 20592 20997 25663 27996 30329 37328 41994 51326 55992 60658 76989 83988 90987 102652 111984 121316 153978 167976 181974 205304 230967 242632 272961 307956 333619 335952 363948 410608 461934 485264 545922 615912 667238 727896 923868 1000857 1091844 1231824 1334476 1455792 1847736 2001714 2183688 2668952 3002571 3695472 4003428 4367376 5337904 6005142 8006856 12010284 16013712 24020568 48041136