Search a number
-
+
47930960 = 24571131251
BaseRepresentation
bin1011011011010…
…1111001010000
310100012010220202
42312311321100
544232242320
64431154332
71121256260
oct266657120
9110163822
1047930960
1125068270
12140759a8
139c1271c
1465197a0
15431bb75
hex2db5e50

47930960 has 160 divisors (see below), whose sum is σ = 143990784. Its totient is φ = 14400000.

The previous prime is 47930917. The next prime is 47930963. The reversal of 47930960 is 6903974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47930963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190835 + ... + 191085.

Almost surely, 247930960 is an apocalyptic number.

47930960 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 47930960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71995392).

47930960 is an abundant number, since it is smaller than the sum of its proper divisors (96059824).

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

47930960 is a wasteful number, since it uses less digits than its factorization.

47930960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 47930960 is about 6923.2189045270. The cubic root of 47930960 is about 363.2497932858.

The spelling of 47930960 in words is "forty-seven million, nine hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 31 35 40 44 55 56 62 70 77 80 88 110 112 124 140 154 155 176 217 220 248 251 280 308 310 341 385 434 440 496 502 560 616 620 682 770 868 880 1004 1085 1232 1240 1255 1364 1540 1705 1736 1757 2008 2170 2387 2480 2510 2728 2761 3080 3410 3472 3514 4016 4340 4774 5020 5456 5522 6160 6820 7028 7781 8680 8785 9548 10040 11044 11935 13640 13805 14056 15562 17360 17570 19096 19327 20080 22088 23870 27280 27610 28112 31124 35140 38192 38654 38905 44176 47740 54467 55220 62248 70280 77308 77810 85591 95480 96635 108934 110440 124496 140560 154616 155620 171182 190960 193270 217868 220880 272335 309232 311240 342364 386540 427955 435736 544670 599137 622480 684728 773080 855910 871472 1089340 1198274 1369456 1546160 1711820 2178680 2396548 2995685 3423640 4357360 4793096 5991370 6847280 9586192 11982740 23965480 47930960