Search a number
-
+
48887040 = 283529439
BaseRepresentation
bin1011101001111…
…1010100000000
310101222201102010
42322133110000
5100003341130
64503452520
71132350546
oct272372400
9111881363
1048887040
1125660614
1214457140
13a188957
1466c7d96
15445a0b0
hex2e9f500

48887040 has 144 divisors (see below), whose sum is σ = 161884800. Its totient is φ = 12558336.

The previous prime is 48887009. The next prime is 48887063. The reversal of 48887040 is 4078884.

It is a self number, because there is not a number n which added to its sum of digits gives 48887040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111141 + ... + 111579.

It is an arithmetic number, because the mean of its divisors is an integer number (1124200).

Almost surely, 248887040 is an apocalyptic number.

48887040 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 48887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80942400).

48887040 is an abundant number, since it is smaller than the sum of its proper divisors (112997760).

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

48887040 is a wasteful number, since it uses less digits than its factorization.

48887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 48887040 is about 6991.9267730719. The cubic root of 48887040 is about 365.6491606505.

The spelling of 48887040 in words is "forty-eight million, eight hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 439 464 480 580 640 696 768 870 878 928 960 1160 1280 1317 1392 1740 1756 1856 1920 2195 2320 2634 2784 3480 3512 3712 3840 4390 4640 5268 5568 6585 6960 7024 7424 8780 9280 10536 11136 12731 13170 13920 14048 17560 18560 21072 22272 25462 26340 27840 28096 35120 37120 38193 42144 50924 52680 55680 56192 63655 70240 76386 84288 101848 105360 111360 112384 127310 140480 152772 168576 190965 203696 210720 254620 280960 305544 337152 381930 407392 421440 509240 561920 611088 763860 814784 842880 1018480 1222176 1527720 1629568 1685760 2036960 2444352 3055440 3259136 4073920 4888704 6110880 8147840 9777408 12221760 16295680 24443520 48887040