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48948150 = 23524753131
BaseRepresentation
bin1011101010111…
…0001110110110
310102002211020110
42322232032312
5100012320100
64505043450
71133023656
oct272561666
9112084213
1048948150
11256a2519
1214486586
13a1aa704
146702366
15446d250
hex2eae3b6

48948150 has 96 divisors (see below), whose sum is σ = 127277568. Its totient is φ = 12438400.

The previous prime is 48948149. The next prime is 48948173. The reversal of 48948150 is 5184984.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48948099 and 48948108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373585 + ... + 373715.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 248948150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48948150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63638784).

48948150 is an abundant number, since it is smaller than the sum of its proper divisors (78329418).

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

48948150 is a wasteful number, since it uses less digits than its factorization.

48948150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 48948150 is about 6996.2954483069. The cubic root of 48948150 is about 365.8014540200.

The spelling of 48948150 in words is "forty-eight million, nine hundred forty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 53 75 94 106 131 141 150 159 235 262 265 282 318 393 470 530 655 705 786 795 1175 1310 1325 1410 1590 1965 2350 2491 2650 3275 3525 3930 3975 4982 6157 6550 6943 7050 7473 7950 9825 12314 12455 13886 14946 18471 19650 20829 24910 30785 34715 36942 37365 41658 61570 62275 69430 74730 92355 104145 124550 153925 173575 184710 186825 208290 307850 326321 347150 373650 461775 520725 652642 923550 978963 1041450 1631605 1957926 3263210 4894815 8158025 9789630 16316050 24474075 48948150