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47909680 = 2457136581
BaseRepresentation
bin1011011011000…
…0101100110000
310100011001201121
42312300230300
544231102210
64430512024
71121140240
oct266605460
9110131647
1047909680
1125053285
1214065614
139c05b30
146511b20
1543156da
hex2db0b30

47909680 has 80 divisors (see below), whose sum is σ = 137116224. Its totient is φ = 15160320.

The previous prime is 47909671. The next prime is 47909699. The reversal of 47909680 is 8690974.

It is a tau number, because it is divible by the number of its divisors (80).

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, 3990 + ... + 10570.

Almost surely, 247909680 is an apocalyptic number.

47909680 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 47909680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68558112).

47909680 is an abundant number, since it is smaller than the sum of its proper divisors (89206544).

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

47909680 is a wasteful number, since it uses less digits than its factorization.

47909680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6614 (or 6608 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 47909680 is about 6921.6818765384. The cubic root of 47909680 is about 363.1960277597.

The spelling of 47909680 in words is "forty-seven million, nine hundred nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 6581 7280 13162 26324 32905 46067 52648 65810 85553 92134 105296 131620 171106 184268 230335 263240 342212 368536 427765 460670 526480 598871 684424 737072 855530 921340 1197742 1368848 1711060 1842680 2395484 2994355 3422120 3685360 4790968 5988710 6844240 9581936 11977420 23954840 47909680