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472898304 = 2833312207
BaseRepresentation
bin11100001011111…
…101101100000000
31012221211201112000
4130023331230000
51432030221204
6114531504000
714501366154
oct3413755400
91187751460
10472898304
11222a3654a
12112458000
1376c863a8
1446b3d064
152b7b3039
hex1c2fdb00

472898304 has 144 divisors (see below), whose sum is σ = 1444208640. Its totient is φ = 152478720.

The previous prime is 472898297. The next prime is 472898311. The reversal of 472898304 is 403898274.

It is an interprime number because it is at equal distance from previous prime (472898297) and next prime (472898311).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 472898304.

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, 213169 + ... + 215375.

Almost surely, 2472898304 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 472898304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722104320).

472898304 is an abundant number, since it is smaller than the sum of its proper divisors (971310336).

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

472898304 is a wasteful number, since it uses less digits than its factorization.

472898304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 472898304 is about 21746.2250517187. The cubic root of 472898304 is about 779.0929100185.

The spelling of 472898304 in words is "four hundred seventy-two million, eight hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 992 1116 1152 1488 1674 1728 1984 2207 2232 2304 2976 3348 3456 3968 4414 4464 5952 6621 6696 6912 7936 8828 8928 11904 13242 13392 17656 17856 19863 23808 26484 26784 35312 35712 39726 52968 53568 59589 68417 70624 71424 79452 105936 107136 119178 136834 141248 158904 205251 211872 214272 238356 273668 282496 317808 410502 423744 476712 547336 564992 615753 635616 821004 847488 953424 1094672 1231506 1271232 1642008 1694976 1847259 1906848 2189344 2463012 2542464 3284016 3694518 3813696 4378688 4926024 5084928 6568032 7389036 7627392 8757376 9852048 13136064 14778072 15254784 17514752 19704096 26272128 29556144 39408192 52544256 59112288 78816384 118224576 157632768 236449152 472898304