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419420928 = 2837392
BaseRepresentation
bin11000111111111…
…101101100000000
31002020012210100110
4120333331230000
51324332432203
6105341351320
713252006353
oct3077755400
91066183313
10419420928
111a5830173
12b8568540
1368b81284
143d9bc29a
1526c4cd03
hex18ffdb00

419420928 has 54 divisors (see below), whose sum is σ = 1117783884. Its totient is φ = 139617792.

The previous prime is 419420921. The next prime is 419420941. The reversal of 419420928 is 829024914.

It is not an unprimeable number, because it can be changed into a prime (419420921) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567183 + ... + 567921.

Almost surely, 2419420928 is an apocalyptic number.

419420928 is a gapful number since it is divisible by the number (48) 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 419420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558891942).

419420928 is an abundant number, since it is smaller than the sum of its proper divisors (698362956).

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

419420928 is an frugal number, since it uses more digits than its factorization.

419420928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 419420928 is about 20479.7687486944. The cubic root of 419420928 is about 748.5429061142.

The spelling of 419420928 in words is "four hundred nineteen million, four hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 739 768 1478 2217 2956 4434 5912 8868 11824 17736 23648 35472 47296 70944 94592 141888 189184 283776 546121 567552 1092242 1638363 2184484 3276726 4368968 6553452 8737936 13106904 17475872 26213808 34951744 52427616 69903488 104855232 139806976 209710464 419420928