Search a number
-
+
48600840 = 23352317609
BaseRepresentation
bin1011100101100…
…1011100001000
310101110011211010
42321121130020
544420211330
64453403520
71130046261
oct271313410
9111404733
1048600840
1125485592
12143395a0
13a0b85c2
146651968
1544003b0
hex2e59708

48600840 has 64 divisors (see below), whose sum is σ = 152150400. Its totient is φ = 12396032.

The previous prime is 48600823. The next prime is 48600883. The reversal of 48600840 is 4800684.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48600798 and 48600807.

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, 6045 + ... + 11564.

It is an arithmetic number, because the mean of its divisors is an integer number (2377350).

Almost surely, 248600840 is an apocalyptic number.

48600840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48600840 is an abundant number, since it is smaller than the sum of its proper divisors (103549560).

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

48600840 is a wasteful number, since it uses less digits than its factorization.

48600840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17646 (or 17642 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 48600840 is about 6971.4302693206. The cubic root of 48600840 is about 364.9342222119.

The spelling of 48600840 in words is "forty-eight million, six hundred thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 17609 35218 52827 70436 88045 105654 140872 176090 211308 264135 352180 405007 422616 528270 704360 810014 1056540 1215021 1620028 2025035 2113080 2430042 3240056 4050070 4860084 6075105 8100140 9720168 12150210 16200280 24300420 48600840