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47928840 = 23353071301
BaseRepresentation
bin1011011011010…
…1011000001000
310100012001000020
42312311120020
544232210330
64431140440
71121250141
oct266653010
9110161006
1047928840
1125066713
1214074720
139c1177b
146518ac8
15431b210
hex2db5608

47928840 has 64 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 12729600.

The previous prime is 47928817. The next prime is 47928841. The reversal of 47928840 is 4882974.

It is a junction number, because it is equal to n+sod(n) for n = 47928792 and 47928801.

It is not an unprimeable number, because it can be changed into a prime (47928841) 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, 36190 + ... + 37490.

It is an arithmetic number, because the mean of its divisors is an integer number (2255715).

Almost surely, 247928840 is an apocalyptic number.

47928840 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 47928840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

47928840 is an abundant number, since it is smaller than the sum of its proper divisors (96436920).

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

47928840 is a wasteful number, since it uses less digits than its factorization.

47928840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 47928840 is about 6923.0657948629. The cubic root of 47928840 is about 363.2444376596.

The spelling of 47928840 in words is "forty-seven million, nine hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 614 921 1228 1301 1535 1842 2456 2602 3070 3684 3903 4605 5204 6140 6505 7368 7806 9210 10408 12280 13010 15612 18420 19515 26020 31224 36840 39030 52040 78060 156120 399407 798814 1198221 1597628 1997035 2396442 3195256 3994070 4792884 5991105 7988140 9585768 11982210 15976280 23964420 47928840