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42430848 = 273472351
BaseRepresentation
bin1010000111011…
…1000110000000
32221211201011220
42201313012000
541330241343
64113235040
71023441045
oct241670600
987751156
1042430848
1121a50a19
1212262a80
138a38115
1458c71cc
153ad2183
hex2877180

42430848 has 64 divisors (see below), whose sum is σ = 115153920. Its totient is φ = 13836800.

The previous prime is 42430811. The next prime is 42430867. The reversal of 42430848 is 84803424.

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, 16873 + ... + 19223.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 242430848 is an apocalyptic number.

42430848 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 42430848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57576960).

42430848 is an abundant number, since it is smaller than the sum of its proper divisors (72723072).

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

42430848 is a wasteful number, since it uses less digits than its factorization.

42430848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 42430848 is about 6513.8965297278. The cubic root of 42430848 is about 348.7872256355.

Adding to 42430848 its product of nonzero digits (24576), we get a palindrome (42455424).

The spelling of 42430848 in words is "forty-two million, four hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 2351 3008 4512 4702 6016 7053 9024 9404 14106 18048 18808 28212 37616 56424 75232 110497 112848 150464 220994 225696 300928 331491 441988 451392 662982 883976 902784 1325964 1767952 2651928 3535904 5303856 7071808 10607712 14143616 21215424 42430848