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42271488 = 283272621
BaseRepresentation
bin1010000101000…
…0001100000000
32221112121120200
42201100030000
541310141423
64110005200
71022205330
oct241201400
987477520
1042271488
1121952216
12121a6800
1389b071c
1458850c0
153a9ed43
hex2850300

42271488 has 108 divisors (see below), whose sum is σ = 139343568. Its totient is φ = 12072960.

The previous prime is 42271457. The next prime is 42271511. The reversal of 42271488 is 88417224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14818 + ... + 17438.

Almost surely, 242271488 is an apocalyptic number.

42271488 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 42271488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69671784).

42271488 is an abundant number, since it is smaller than the sum of its proper divisors (97072080).

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

42271488 is a wasteful number, since it uses less digits than its factorization.

42271488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2633 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 42271488 is about 6501.6527129646. The cubic root of 42271488 is about 348.3500243573.

The spelling of 42271488 in words is "forty-two million, two hundred seventy-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2621 2688 4032 5242 5376 7863 8064 10484 15726 16128 18347 20968 23589 31452 36694 41936 47178 55041 62904 73388 83872 94356 110082 125808 146776 165123 167744 188712 220164 251616 293552 330246 335488 377424 440328 503232 587104 660492 670976 754848 880656 1006464 1174208 1320984 1509696 1761312 2012928 2348416 2641968 3019392 3522624 4696832 5283936 6038784 7045248 10567872 14090496 21135744 42271488