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471730272 = 253131911979
BaseRepresentation
bin11100000111100…
…000100001100000
31012212122101021120
4130013200201200
51431230332042
6114450452240
714455432626
oct3407404140
91185571246
10471730272
11222308a32
12111b94080
1376967850
1446917516
152b631dec
hex1c1e0860

471730272 has 96 divisors (see below), whose sum is σ = 1341204480. Its totient is φ = 144314880.

The previous prime is 471730247. The next prime is 471730291. The reversal of 471730272 is 272037174.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237379 + ... + 239357.

It is an arithmetic number, because the mean of its divisors is an integer number (13970880).

Almost surely, 2471730272 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 471730272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240).

471730272 is an abundant number, since it is smaller than the sum of its proper divisors (869474208).

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

471730272 is a wasteful number, since it uses less digits than its factorization.

471730272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 471730272 is about 21719.3524765358. The cubic root of 471730272 is about 778.4509427480.

The spelling of 471730272 in words is "four hundred seventy-one million, seven hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 191 208 312 382 416 573 624 764 1146 1248 1528 1979 2292 2483 3056 3958 4584 4966 5937 6112 7449 7916 9168 9932 11874 14898 15832 18336 19864 23748 25727 29796 31664 39728 47496 51454 59592 63328 77181 79456 94992 102908 119184 154362 189984 205816 238368 308724 377989 411632 617448 755978 823264 1133967 1234896 1511956 2267934 2469792 3023912 4535868 4913857 6047824 9071736 9827714 12095648 14741571 18143472 19655428 29483142 36286944 39310856 58966284 78621712 117932568 157243424 235865136 471730272