Search a number
-
+
48643650 = 232521131317
BaseRepresentation
bin1011100110001…
…1111001000010
310101112100112200
42321203321002
544423044100
64454334030
71130315136
oct271437102
9111470480
1048643650
1125504770
121435a316
13a101c33
1466633c6
15440ce00
hex2e63e42

48643650 has 144 divisors (see below), whose sum is σ = 147633408. Its totient is φ = 11376000.

The previous prime is 48643649. The next prime is 48643669. The reversal of 48643650 is 5634684.

48643650 is a `hidden beast` number, since 4 + 8 + 643 + 6 + 5 + 0 = 666.

48643650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153292 + ... + 153608.

It is an arithmetic number, because the mean of its divisors is an integer number (1025232).

Almost surely, 248643650 is an apocalyptic number.

It is a pronic number, being equal to 6974×6975.

It is a practical number, because each smaller number is the sum of distinct divisors of 48643650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73816704).

48643650 is an abundant number, since it is smaller than the sum of its proper divisors (98989758).

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

48643650 is a wasteful number, since it uses less digits than its factorization.

48643650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 48643650 is about 6974.4999820776. The cubic root of 48643650 is about 365.0413414110.

The spelling of 48643650 in words is "forty-eight million, six hundred forty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 31 33 45 50 55 62 66 75 90 93 99 110 150 155 165 186 198 225 275 279 310 317 330 341 450 465 495 550 558 634 682 775 825 930 951 990 1023 1395 1550 1585 1650 1705 1902 2046 2325 2475 2790 2853 3069 3170 3410 3487 4650 4755 4950 5115 5706 6138 6974 6975 7925 8525 9510 9827 10230 10461 13950 14265 15345 15850 17050 17435 19654 20922 23775 25575 28530 29481 30690 31383 34870 47550 49135 51150 52305 58962 62766 71325 76725 87175 88443 98270 104610 108097 142650 147405 153450 156915 174350 176886 216194 245675 261525 294810 313830 324291 442215 491350 523050 540485 648582 737025 784575 884430 972873 1080970 1474050 1569150 1621455 1945746 2211075 2702425 3242910 4422150 4864365 5404850 8107275 9728730 16214550 24321825 48643650