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42014464 = 28337487
BaseRepresentation
bin1010000001000…
…1011100000000
32221001120000021
42200101130000
541223430324
64100303224
71020055102
oct240213400
987046007
1042014464
11217970a8
12120a1b14
13892073b
145819572
153a4dae4
hex2811700

42014464 has 36 divisors (see below), whose sum is σ = 84286384. Its totient is φ = 20901888.

The previous prime is 42014449. The next prime is 42014473. The reversal of 42014464 is 46441024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86029 + ... + 86515.

Almost surely, 242014464 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 42014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42143192).

42014464 is an abundant number, since it is smaller than the sum of its proper divisors (42271920).

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

42014464 is an equidigital number, since it uses as much as digits as its factorization.

42014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 42014464 is about 6481.8565241758. The cubic root of 42014464 is about 347.6425624878.

Adding to 42014464 its reverse (46441024), we get a palindrome (88455488).

It can be divided in two parts, 420 and 14464, that added together give a square (14884 = 1222).

The spelling of 42014464 in words is "forty-two million, fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 337 487 674 974 1348 1948 2696 3896 5392 7792 10784 15584 21568 31168 43136 62336 86272 124672 164119 328238 656476 1312952 2625904 5251808 10503616 21007232 42014464