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48002816 = 281971139
BaseRepresentation
bin1011011100011…
…1011100000000
310100022210111002
42313013130000
544242042231
64432511132
71122005621
oct267073400
9110283432
1048002816
1125107254
12140ab4a8
139c39344
146537a48
1543330cb
hex2dc7700

48002816 has 72 divisors (see below), whose sum is σ = 103017600. Its totient is φ = 22256640.

The previous prime is 48002809. The next prime is 48002821. The reversal of 48002816 is 61820084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345275 + ... + 345413.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 248002816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51508800).

48002816 is an abundant number, since it is smaller than the sum of its proper divisors (55014784).

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

48002816 is a wasteful number, since it uses less digits than its factorization.

48002816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 48002816 is about 6928.4064545897. The cubic root of 48002816 is about 363.4312253880.

The spelling of 48002816 in words is "forty-eight million, two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 139 142 152 256 278 284 304 556 568 608 1112 1136 1216 1349 2224 2272 2432 2641 2698 4448 4544 4864 5282 5396 8896 9088 9869 10564 10792 17792 18176 19738 21128 21584 35584 39476 42256 43168 78952 84512 86336 157904 169024 172672 187511 315808 338048 345344 375022 631616 676096 750044 1263232 1500088 2526464 3000176 6000352 12000704 24001408 48002816