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473029248 = 2733179503
BaseRepresentation
bin11100001100011…
…101101010000000
31012222002101010210
4130030131222000
51432043413443
6114534354120
714502453006
oct3414355200
91188071123
10473029248
1122301596a
121124bb940
1377000b83
1446b74a76
152b7dbc33
hex1c31da80

473029248 has 128 divisors (see below), whose sum is σ = 1316044800. Its totient is φ = 150359040.

The previous prime is 473029243. The next prime is 473029253. The reversal of 473029248 is 842920374.

It is an interprime number because it is at equal distance from previous prime (473029243) and next prime (473029253).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (473029241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940165 + ... + 940667.

It is an arithmetic number, because the mean of its divisors is an integer number (10281600).

Almost surely, 2473029248 is an apocalyptic number.

473029248 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 473029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658022400).

473029248 is an abundant number, since it is smaller than the sum of its proper divisors (843015552).

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

473029248 is a wasteful number, since it uses less digits than its factorization.

473029248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 473029248 is about 21749.2355727736. The cubic root of 473029248 is about 779.1648128120.

The spelling of 473029248 in words is "four hundred seventy-three million, twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 79 93 96 124 128 158 186 192 237 248 316 372 384 474 496 503 632 744 948 992 1006 1264 1488 1509 1896 1984 2012 2449 2528 2976 3018 3792 3968 4024 4898 5056 5952 6036 7347 7584 8048 9796 10112 11904 12072 14694 15168 15593 16096 19592 24144 29388 30336 31186 32192 39184 39737 46779 48288 58776 62372 64384 78368 79474 93558 96576 117552 119211 124744 156736 158948 187116 193152 235104 238422 249488 313472 317896 374232 470208 476844 498976 635792 748464 940416 953688 997952 1231847 1271584 1496928 1907376 1995904 2463694 2543168 2993856 3695541 3814752 4927388 5086336 5987712 7391082 7629504 9854776 14782164 15259008 19709552 29564328 39419104 59128656 78838208 118257312 157676416 236514624 473029248