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42971472 = 243471467
BaseRepresentation
bin1010001111101…
…1000101010000
32222212011210000
42203323011100
542000041342
64133010000
71031152155
oct243730520
988764700
1042971472
1122290115
1212483900
138b9720b
1459c822c
153b8c44c
hex28fb150

42971472 has 100 divisors (see below), whose sum is σ = 126393696. Its totient is φ = 14091840.

The previous prime is 42971471. The next prime is 42971477. The reversal of 42971472 is 27417924.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42971471) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91783 + ... + 92249.

Almost surely, 242971472 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 42971472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63196848).

42971472 is an abundant number, since it is smaller than the sum of its proper divisors (83422224).

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

42971472 is a wasteful number, since it uses less digits than its factorization.

42971472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 543 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 42971472 is about 6555.2629237888. The cubic root of 42971472 is about 350.2623122010.

The spelling of 42971472 in words is "forty-two million, nine hundred seventy-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 467 568 639 648 852 934 1136 1278 1296 1401 1704 1868 1917 2556 2802 3408 3736 3834 4203 5112 5604 5751 7472 7668 8406 10224 11208 11502 12609 15336 16812 22416 23004 25218 30672 33157 33624 37827 46008 50436 66314 67248 75654 92016 99471 100872 132628 151308 198942 201744 265256 298413 302616 397884 530512 596826 605232 795768 895239 1193652 1591536 1790478 2387304 2685717 3580956 4774608 5371434 7161912 10742868 14323824 21485736 42971472