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472427520 = 2103530757
BaseRepresentation
bin11100001010001…
…010110000000000
31012220221210201120
4130022022300000
51431420140040
6114513432240
714464365465
oct3412126000
91186853646
10472427520
11222744874
1211226b680
1376b50016
1446a5966c
152b71d7d0
hex1c28ac00

472427520 has 88 divisors (see below), whose sum is σ = 1511079024. Its totient is φ = 125976576.

The previous prime is 472427491. The next prime is 472427537. The reversal of 472427520 is 25724274.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 30738.

Almost surely, 2472427520 is an apocalyptic number.

472427520 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 472427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755539512).

472427520 is an abundant number, since it is smaller than the sum of its proper divisors (1038651504).

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

472427520 is a wasteful number, since it uses less digits than its factorization.

472427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30785 (or 30767 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 472427520 is about 21735.3978569521. The cubic root of 472427520 is about 778.8342876356.

The spelling of 472427520 in words is "four hundred seventy-two million, four hundred twenty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 30757 61514 92271 123028 153785 184542 246056 307570 369084 461355 492112 615140 738168 922710 984224 1230280 1476336 1845420 1968448 2460560 2952672 3690840 3936896 4921120 5905344 7381680 7873792 9842240 11810688 14763360 15747584 19684480 23621376 29526720 31495168 39368960 47242752 59053440 78737920 94485504 118106880 157475840 236213760 472427520