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48135870 = 23753171
BaseRepresentation
bin1011011110011…
…1111010111110
310100120120000000
42313213322332
544310321440
64435415130
71123101546
oct267477276
9110516000
1048135870
1125198212
12141544a6
139c84a83
146570326
15435c730
hex2de7ebe

48135870 has 128 divisors (see below), whose sum is σ = 136028160. Its totient is φ = 12247200.

The previous prime is 48135869. The next prime is 48135881. The reversal of 48135870 is 7853184.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 677935 + ... + 678005.

It is an arithmetic number, because the mean of its divisors is an integer number (1062720).

Almost surely, 248135870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48135870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68014080).

48135870 is an abundant number, since it is smaller than the sum of its proper divisors (87892290).

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

48135870 is an equidigital number, since it uses as much as digits as its factorization.

48135870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 48135870 is about 6938.0018737386. The cubic root of 48135870 is about 363.7667013269.

The spelling of 48135870 in words is "forty-eight million, one hundred thirty-five thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 71 81 90 93 135 142 155 162 186 213 243 270 279 310 355 405 426 465 486 558 639 710 729 810 837 930 1065 1215 1278 1395 1458 1674 1917 2130 2187 2201 2430 2511 2790 3195 3645 3834 4185 4374 4402 5022 5751 6390 6603 7290 7533 8370 9585 10935 11005 11502 12555 13206 15066 17253 19170 19809 21870 22010 22599 25110 28755 33015 34506 37665 39618 45198 51759 57510 59427 66030 67797 75330 86265 99045 103518 112995 118854 135594 155277 172530 178281 198090 225990 258795 297135 310554 338985 356562 517590 534843 594270 677970 776385 891405 1069686 1552770 1604529 1782810 2674215 3209058 4813587 5348430 8022645 9627174 16045290 24067935 48135870