Search a number
-
+
48700960 = 2557115967
BaseRepresentation
bin1011100111000…
…1111000100000
310101122021011021
42321301320200
544431412320
64455455224
71130644210
oct271617040
9111567137
1048700960
1125543830
1214387514
13a122049
14667a240
15441edaa
hex2e71e20

48700960 has 192 divisors, whose sum is σ = 148055040. Its totient is φ = 14699520.

The previous prime is 48700957. The next prime is 48700979. The reversal of 48700960 is 6900784.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726847 + ... + 726913.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 248700960 is an apocalyptic number.

48700960 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 48700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74027520).

48700960 is an abundant number, since it is smaller than the sum of its proper divisors (99354080).

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

48700960 is a wasteful number, since it uses less digits than its factorization.

48700960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 48700960 is about 6978.6073109181. The cubic root of 48700960 is about 365.1846441768.

The spelling of 48700960 in words is "forty-eight million, seven hundred thousand, nine hundred sixty".