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379920048 = 24319416579
BaseRepresentation
bin10110101001010…
…001111010110000
3222110212221022220
4112221101322300
51234224420143
6101411001040
712262160424
oct2651217260
9873787286
10379920048
11185500612
12a7299180
1360930981
1438658b84
1523548d83
hex16a51eb0

379920048 has 40 divisors (see below), whose sum is σ = 1033118400. Its totient is φ = 119974464.

The previous prime is 379920041. The next prime is 379920053. The reversal of 379920048 is 840029973.

It is a junction number, because it is equal to n+sod(n) for n = 379919991 and 379920009.

It is not an unprimeable number, because it can be changed into a prime (379920041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207378 + ... + 209201.

It is an arithmetic number, because the mean of its divisors is an integer number (25827960).

Almost surely, 2379920048 is an apocalyptic number.

379920048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

379920048 is an abundant number, since it is smaller than the sum of its proper divisors (653198352).

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

379920048 is a wasteful number, since it uses less digits than its factorization.

379920048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416609 (or 416603 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 379920048 is about 19491.5378562083. The cubic root of 379920048 is about 724.2648421106.

The spelling of 379920048 in words is "three hundred seventy-nine million, nine hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 416579 833158 1249737 1666316 2499474 3332632 4998948 6665264 7915001 9997896 15830002 19995792 23745003 31660004 47490006 63320008 94980012 126640016 189960024 379920048