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42056448 = 28377823
BaseRepresentation
bin1010000001101…
…1101100000000
32221010200121020
42200123230000
541231301243
64101225440
71020321360
oct240335400
987120536
1042056448
11218156a5
1212102280
138936895
14582a9a0
153a5b283
hex281bb00

42056448 has 72 divisors (see below), whose sum is σ = 127938048. Its totient is φ = 12014592.

The previous prime is 42056423. The next prime is 42056449. The reversal of 42056448 is 84465024.

It is not an unprimeable number, because it can be changed into a prime (42056449) 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, 1465 + ... + 9287.

Almost surely, 242056448 is an apocalyptic number.

42056448 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 42056448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63969024).

42056448 is an abundant number, since it is smaller than the sum of its proper divisors (85881600).

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

42056448 is an equidigital number, since it uses as much as digits as its factorization.

42056448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 42056448 is about 6485.0942938403. The cubic root of 42056448 is about 347.7583207691.

The spelling of 42056448 in words is "forty-two million, fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 7823 15646 23469 31292 46938 54761 62584 93876 109522 125168 164283 187752 219044 250336 328566 375504 438088 500672 657132 751008 876176 1001344 1314264 1502016 1752352 2002688 2628528 3004032 3504704 5257056 6008064 7009408 10514112 14018816 21028224 42056448