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42479616 = 21233457
BaseRepresentation
bin1010001000001…
…1000000000000
32221221012002010
42202003000000
541333321431
64114252520
71024033164
oct242030000
987835063
1042479616
1121a84623
1212287140
138a5438a
1458daca4
153ae1846
hex2883000

42479616 has 52 divisors (see below), whose sum is σ = 113297912. Its totient is φ = 14155776.

The previous prime is 42479603. The next prime is 42479627. The reversal of 42479616 is 61697424.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10560 + ... + 14016.

It is an arithmetic number, because the mean of its divisors is an integer number (2178806).

Almost surely, 242479616 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 42479616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56648956).

42479616 is an abundant number, since it is smaller than the sum of its proper divisors (70818296).

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

42479616 is an equidigital number, since it uses as much as digits as its factorization.

42479616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3462 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 42479616 is about 6517.6388362658. The cubic root of 42479616 is about 348.9208009600.

The spelling of 42479616 in words is "forty-two million, four hundred seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 3457 4096 6144 6914 10371 12288 13828 20742 27656 41484 55312 82968 110624 165936 221248 331872 442496 663744 884992 1327488 1769984 2654976 3539968 5309952 7079936 10619904 14159872 21239808 42479616