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422742048 = 25329151847
BaseRepresentation
bin11001001100101…
…000100000100000
31002110110112001220
4121030220200200
51331210221143
6105540455040
713322151051
oct3114504040
91073415056
10422742048
111a76993a3
12b96aa480
1369774b31
1440204728
15271a6d83
hex19328820

422742048 has 48 divisors (see below), whose sum is σ = 1147970880. Its totient is φ = 136054016.

The previous prime is 422742041. The next prime is 422742059. The reversal of 422742048 is 840247224.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (422742041) 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, 73140 + ... + 78707.

It is an arithmetic number, because the mean of its divisors is an integer number (23916060).

Almost surely, 2422742048 is an apocalyptic number.

422742048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

422742048 is an abundant number, since it is smaller than the sum of its proper divisors (725228832).

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

422742048 is a wasteful number, since it uses less digits than its factorization.

422742048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151889 (or 151881 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 422742048 is about 20560.6918171544. The cubic root of 422742048 is about 750.5134546278.

The spelling of 422742048 in words is "four hundred twenty-two million, seven hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 151847 303694 455541 607388 911082 1214776 1822164 2429552 3644328 4403563 4859104 7288656 8807126 13210689 14577312 17614252 26421378 35228504 52842756 70457008 105685512 140914016 211371024 422742048