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42644480 = 21058329
BaseRepresentation
bin1010001010101…
…1010000000000
32222020120020012
42202223100000
541404110410
64122004052
71025320634
oct242532000
988216205
1042644480
112208747a
1212346628
138ab1428
145940dc4
153b25605
hex28ab400

42644480 has 44 divisors (see below), whose sum is σ = 102309060. Its totient is φ = 17055744.

The previous prime is 42644479. The next prime is 42644491. The reversal of 42644480 is 8444624.

It can be written as a sum of positive squares in 2 ways, for example, as 9834496 + 32809984 = 3136^2 + 5728^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 956 + ... + 9284.

Almost surely, 242644480 is an apocalyptic number.

42644480 is a gapful number since it is divisible by the number (40) 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 42644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51154530).

42644480 is an abundant number, since it is smaller than the sum of its proper divisors (59664580).

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

42644480 is an equidigital number, since it uses as much as digits as its factorization.

42644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8354 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 42644480 is about 6530.2741136954. The cubic root of 42644480 is about 349.3716071474.

The spelling of 42644480 in words is "forty-two million, six hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 8329 16658 33316 41645 66632 83290 133264 166580 266528 333160 533056 666320 1066112 1332640 2132224 2665280 4264448 5330560 8528896 10661120 21322240 42644480