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47928240 = 2433522189
BaseRepresentation
bin1011011011010…
…1001110110000
310100012000012000
42312311032300
544232200430
64431134000
71121245323
oct266651660
9110160160
1047928240
1125066218
1214074300
139c11409
1465187ba
15431ae60
hex2db53b0

47928240 has 80 divisors (see below), whose sum is σ = 165093600. Its totient is φ = 12780288.

The previous prime is 47928239. The next prime is 47928259. The reversal of 47928240 is 4282974.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47928195 and 47928204.

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, 8935 + ... + 13254.

It is an arithmetic number, because the mean of its divisors is an integer number (2063670).

Almost surely, 247928240 is an apocalyptic number.

47928240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47928240 is an abundant number, since it is smaller than the sum of its proper divisors (117165360).

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

47928240 is a wasteful number, since it uses less digits than its factorization.

47928240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22211 (or 22199 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47928240 is about 6923.0224613242. The cubic root of 47928240 is about 363.2429218876.

The spelling of 47928240 in words is "forty-seven million, nine hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 22189 44378 66567 88756 110945 133134 177512 199701 221890 266268 332835 355024 399402 443780 532536 599103 665670 798804 887560 998505 1065072 1198206 1331340 1597608 1775120 1997010 2396412 2662680 2995515 3195216 3994020 4792824 5325360 5991030 7988040 9585648 11982060 15976080 23964120 47928240