Search a number
-
+
48840640 = 2651929277
BaseRepresentation
bin1011101001001…
…1111111000000
310101220100202121
42322103333000
5100000400030
64502454024
71132065352
oct272237700
9111810677
1048840640
1125629772
1214434314
13a1707b4
1466b50d2
15444b47a
hex2e93fc0

48840640 has 112 divisors (see below), whose sum is σ = 127101600. Its totient is φ = 17805312.

The previous prime is 48840607. The next prime is 48840641. The reversal of 48840640 is 4604884.

It is a junction number, because it is equal to n+sod(n) for n = 48840596 and 48840605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48840641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176182 + ... + 176458.

Almost surely, 248840640 is an apocalyptic number.

48840640 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 48840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63550800).

48840640 is an abundant number, since it is smaller than the sum of its proper divisors (78260960).

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

48840640 is a wasteful number, since it uses less digits than its factorization.

48840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 48840640 is about 6988.6078728170. The cubic root of 48840640 is about 365.5334415591.

The spelling of 48840640 in words is "forty-eight million, eight hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 80 95 116 145 152 160 190 232 277 290 304 320 380 464 551 554 580 608 760 928 1102 1108 1160 1216 1385 1520 1856 2204 2216 2320 2755 2770 3040 4408 4432 4640 5263 5510 5540 6080 8033 8816 8864 9280 10526 11020 11080 16066 17632 17728 21052 22040 22160 26315 32132 35264 40165 42104 44080 44320 52630 64264 80330 84208 88160 88640 105260 128528 152627 160660 168416 176320 210520 257056 305254 321320 336832 421040 514112 610508 642640 763135 842080 1221016 1285280 1526270 1684160 2442032 2570560 3052540 4884064 6105080 9768128 12210160 24420320 48840640