Search a number
-
+
48885648 = 2437292173
BaseRepresentation
bin1011101001111…
…0111110010000
310101222122111120
42322132332100
5100003320043
64503442240
71132343520
oct272367620
9111878446
1048885648
112565a569
1214456380
13a188126
1466c7680
154459983
hex2e9ef90

48885648 has 120 divisors (see below), whose sum is σ = 150341568. Its totient is φ = 13407744.

The previous prime is 48885647. The next prime is 48885709. The reversal of 48885648 is 84658884.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48885648.

It is not an unprimeable number, because it can be changed into a prime (48885643) 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, 282490 + ... + 282662.

Almost surely, 248885648 is an apocalyptic number.

48885648 is a gapful number since it is divisible by the number (48) 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 48885648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75170784).

48885648 is an abundant number, since it is smaller than the sum of its proper divisors (101455920).

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

48885648 is a wasteful number, since it uses less digits than its factorization.

48885648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 214 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 51.

The square root of 48885648 is about 6991.8272289867. The cubic root of 48885648 is about 365.6456901433.

The spelling of 48885648 in words is "forty-eight million, eight hundred eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 173 174 203 232 336 346 348 406 464 519 609 692 696 812 841 1038 1211 1218 1384 1392 1624 1682 2076 2422 2436 2523 2768 3248 3364 3633 4152 4844 4872 5017 5046 5887 6728 7266 8304 9688 9744 10034 10092 11774 13456 14532 15051 17661 19376 20068 20184 23548 29064 30102 35119 35322 40136 40368 47096 58128 60204 70238 70644 80272 94192 105357 120408 140476 141288 145493 210714 240816 280952 282576 290986 421428 436479 561904 581972 842856 872958 1018451 1163944 1685712 1745916 2036902 2327888 3055353 3491832 4073804 6110706 6983664 8147608 12221412 16295216 24442824 48885648