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42347520 = 210325919
BaseRepresentation
bin1010000110001…
…0110000000000
32221200110212200
42201202300000
541320110040
64111353200
71022643105
oct241426000
987613780
1042347520
11219a4356
1212222800
138a09207
1458a4aac
153ab7630
hex2862c00

42347520 has 132 divisors (see below), whose sum is σ = 146892720. Its totient is φ = 11280384.

The previous prime is 42347509. The next prime is 42347521. The reversal of 42347520 is 2574324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42347521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45621 + ... + 46539.

Almost surely, 242347520 is an apocalyptic number.

42347520 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 42347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73446360).

42347520 is an abundant number, since it is smaller than the sum of its proper divisors (104545200).

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

42347520 is a wasteful number, since it uses less digits than its factorization.

42347520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42347520 is about 6507.4972147516. The cubic root of 42347520 is about 348.5587535863.

The spelling of 42347520 in words is "forty-two million, three hundred forty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 919 960 1024 1152 1280 1440 1536 1838 1920 2304 2560 2757 2880 3072 3676 3840 4595 4608 5120 5514 5760 7352 7680 8271 9190 9216 11028 11520 13785 14704 15360 16542 18380 22056 23040 27570 29408 33084 36760 41355 44112 46080 55140 58816 66168 73520 82710 88224 110280 117632 132336 147040 165420 176448 220560 235264 264672 294080 330840 352896 441120 470528 529344 588160 661680 705792 882240 941056 1058688 1176320 1323360 1411584 1764480 2117376 2352640 2646720 2823168 3528960 4234752 4705280 5293440 7057920 8469504 10586880 14115840 21173760 42347520