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42260928 = 263534153
BaseRepresentation
bin1010000100110…
…1100111000000
32221112002002120
42201031213000
541304322203
64105444240
71022132463
oct241154700
987462076
1042260928
1121945296
12121a0680
1389a8988
1458812da
153a9bb53
hex284d9c0

42260928 has 56 divisors (see below), whose sum is σ = 113952528. Its totient is φ = 13817856.

The previous prime is 42260927. The next prime is 42260951. The reversal of 42260928 is 82906224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42260927) 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, 8100 + ... + 12252.

Almost surely, 242260928 is an apocalyptic number.

42260928 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 42260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56976264).

42260928 is an abundant number, since it is smaller than the sum of its proper divisors (71691600).

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

42260928 is a wasteful number, since it uses less digits than its factorization.

42260928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42260928 is about 6500.8405610352. The cubic root of 42260928 is about 348.3210143966.

The spelling of 42260928 in words is "forty-two million, two hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2544 3392 4153 5088 8306 10176 12459 16612 24918 33224 49836 66448 99672 132896 199344 220109 265792 398688 440218 660327 797376 880436 1320654 1760872 2641308 3521744 5282616 7043488 10565232 14086976 21130464 42260928