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427822464 = 2734192659
BaseRepresentation
bin11001100000000…
…000110110000000
31002211000122002110
4121200000312000
51334010304324
6110241415320
713413300546
oct3140006600
91084018073
10427822464
111aa549393
12bb33a540
136a8333b4
1440b67d96
152785c329
hex19800d80

427822464 has 64 divisors (see below), whose sum is σ = 1139544000. Its totient is φ = 142213632.

The previous prime is 427822441. The next prime is 427822481. The reversal of 427822464 is 464228724.

It is a tau number, because it is divible by the number of its divisors (64).

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, 159567 + ... + 162225.

It is an arithmetic number, because the mean of its divisors is an integer number (17805375).

Almost surely, 2427822464 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 427822464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569772000).

427822464 is an abundant number, since it is smaller than the sum of its proper divisors (711721536).

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

427822464 is a wasteful number, since it uses less digits than its factorization.

427822464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3083 counting only the distinct ones).

The product of its digits is 172032, while the sum is 39.

The square root of 427822464 is about 20683.8696572958. The cubic root of 427822464 is about 753.5079895418.

The spelling of 427822464 in words is "four hundred twenty-seven million, eight hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 419 838 1257 1676 2514 2659 3352 5028 5318 6704 7977 10056 10636 13408 15954 20112 21272 26816 31908 40224 42544 53632 63816 80448 85088 127632 160896 170176 255264 340352 510528 1021056 1114121 2228242 3342363 4456484 6684726 8912968 13369452 17825936 26738904 35651872 53477808 71303744 106955616 142607488 213911232 427822464