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48207540 = 223523181193
BaseRepresentation
bin1011011111100…
…1011010110100
310100201012022110
42313321122310
544320120130
64441131020
71123520523
oct267713264
9110635273
1048207540
1125237047
1214189a70
139cab594
14658c4ba
154373ab0
hex2df96b4

48207540 has 96 divisors (see below), whose sum is σ = 142361856. Its totient is φ = 12165120.

The previous prime is 48207527. The next prime is 48207547. The reversal of 48207540 is 4570284.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48207498 and 48207507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48207547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249684 + ... + 249876.

It is an arithmetic number, because the mean of its divisors is an integer number (1482936).

Almost surely, 248207540 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 48207540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71180928).

48207540 is an abundant number, since it is smaller than the sum of its proper divisors (94154316).

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

48207540 is a wasteful number, since it uses less digits than its factorization.

48207540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 48207540 is about 6943.1649843569. The cubic root of 48207540 is about 363.9471504803.

The spelling of 48207540 in words is "forty-eight million, two hundred seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 181 193 230 276 345 362 386 460 543 579 690 724 772 905 965 1086 1158 1380 1810 1930 2172 2316 2715 2895 3620 3860 4163 4439 5430 5790 8326 8878 10860 11580 12489 13317 16652 17756 20815 22195 24978 26634 34933 41630 44390 49956 53268 62445 66585 69866 83260 88780 104799 124890 133170 139732 174665 209598 249780 266340 349330 419196 523995 698660 803459 1047990 1606918 2095980 2410377 3213836 4017295 4820754 8034590 9641508 12051885 16069180 24103770 48207540