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474908672 = 2117157211
BaseRepresentation
bin11100010011101…
…000100000000000
31020002121212020002
4130103220200000
51433034034142
6115042535132
714524441250
oct3423504000
91202555202
10474908672
11224089a07
121130674a8
137750b464
1447103960
152ba5da32
hex1c4e8800

474908672 has 96 divisors (see below), whose sum is σ = 1097328960. Its totient is φ = 201277440.

The previous prime is 474908671. The next prime is 474908689. The reversal of 474908672 is 276809474.

It is not an unprimeable number, because it can be changed into a prime (474908671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2250647 + ... + 2250857.

It is an arithmetic number, because the mean of its divisors is an integer number (11430510).

Almost surely, 2474908672 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 474908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548664480).

474908672 is an abundant number, since it is smaller than the sum of its proper divisors (622420288).

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

474908672 is a wasteful number, since it uses less digits than its factorization.

474908672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The square root of 474908672 is about 21792.3994089683. The cubic root of 474908672 is about 780.1953663595.

The spelling of 474908672 in words is "four hundred seventy-four million, nine hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 157 211 224 256 314 422 448 512 628 844 896 1024 1099 1256 1477 1688 1792 2048 2198 2512 2954 3376 3584 4396 5024 5908 6752 7168 8792 10048 11816 13504 14336 17584 20096 23632 27008 33127 35168 40192 47264 54016 66254 70336 80384 94528 108032 132508 140672 160768 189056 216064 231889 265016 281344 321536 378112 432128 463778 530032 562688 756224 927556 1060064 1125376 1512448 1855112 2120128 2250752 3024896 3710224 4240256 7420448 8480512 14840896 16961024 29681792 33922048 59363584 67844096 118727168 237454336 474908672