Search a number
-
+
48697880 = 23571197163
BaseRepresentation
bin1011100111000…
…1001000011000
310101122002221012
42321301020120
544431313010
64455433052
71130632220
oct271611030
9111562835
1048697880
1125541490
1214385788
13a12081a
146679080
15441e005
hex2e71218

48697880 has 128 divisors (see below), whose sum is σ = 138862080. Its totient is φ = 14929920.

The previous prime is 48697879. The next prime is 48697897. The reversal of 48697880 is 8879684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298679 + ... + 298841.

It is an arithmetic number, because the mean of its divisors is an integer number (1084860).

Almost surely, 248697880 is an apocalyptic number.

48697880 is a gapful number since it is divisible by the number (40) 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 48697880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69431040).

48697880 is an abundant number, since it is smaller than the sum of its proper divisors (90164200).

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

48697880 is a wasteful number, since it uses less digits than its factorization.

48697880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 48697880 is about 6978.3866330263. The cubic root of 48697880 is about 365.1769455440.

The spelling of 48697880 in words is "forty-eight million, six hundred ninety-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 97 110 140 154 163 194 220 280 308 326 385 388 440 485 616 652 679 770 776 815 970 1067 1141 1304 1358 1540 1630 1793 1940 2134 2282 2716 3080 3260 3395 3586 3880 4268 4564 5335 5432 5705 6520 6790 7172 7469 8536 8965 9128 10670 11410 12551 13580 14344 14938 15811 17930 21340 22820 25102 27160 29876 31622 35860 37345 42680 45640 50204 59752 62755 63244 71720 74690 79055 100408 110677 125510 126488 149380 158110 173921 221354 251020 298760 316220 347842 442708 502040 553385 632440 695684 869605 885416 1106770 1217447 1391368 1739210 2213540 2434894 3478420 4427080 4869788 6087235 6956840 9739576 12174470 24348940 48697880