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42073472 = 27746957
BaseRepresentation
bin1010000001111…
…1110110000000
32221011112221202
42200133312000
541232322342
64101440332
71020422120
oct240376600
987145852
1042073472
1121827471
12121100a8
13894155c
145832c80
153a61332
hex281fd80

42073472 has 32 divisors (see below), whose sum is σ = 95794320. Its totient is φ = 18031104.

The previous prime is 42073457. The next prime is 42073489. The reversal of 42073472 is 27437024.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×420734722 = 3540354092269568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22583 + ... + 24374.

Almost surely, 242073472 is an apocalyptic number.

It is an amenable number.

42073472 is an abundant number, since it is smaller than the sum of its proper divisors (53720848).

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

42073472 is an equidigital number, since it uses as much as digits as its factorization.

42073472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46978 (or 46966 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 42073472 is about 6486.4067094193. The cubic root of 42073472 is about 347.8052373879.

The spelling of 42073472 in words is "forty-two million, seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 46957 93914 187828 328699 375656 657398 751312 1314796 1502624 2629592 3005248 5259184 6010496 10518368 21036736 42073472