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472203264 = 214313739
BaseRepresentation
bin11100001001010…
…100000000000000
31012220112102002210
4130021110000000
51431341001024
6114504542120
714462442621
oct3411240000
91186472083
10472203264
11222601335
12112181940
1376aa1c20
14469dba48
152b6c7129
hex1c254000

472203264 has 120 divisors (see below), whose sum is σ = 1357864480. Its totient is φ = 145096704.

The previous prime is 472203239. The next prime is 472203269. The reversal of 472203264 is 462302274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472203269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638607 + ... + 639345.

Almost surely, 2472203264 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 472203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678932240).

472203264 is an abundant number, since it is smaller than the sum of its proper divisors (885661216).

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

472203264 is an equidigital number, since it uses as much as digits as its factorization.

472203264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 472203264 is about 21730.2384708498. The cubic root of 472203264 is about 778.7110335221.

The spelling of 472203264 in words is "four hundred seventy-two million, two hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 739 768 832 1024 1248 1478 1536 1664 2048 2217 2496 2956 3072 3328 4096 4434 4992 5912 6144 6656 8192 8868 9607 9984 11824 12288 13312 16384 17736 19214 19968 23648 24576 26624 28821 35472 38428 39936 47296 49152 53248 57642 70944 76856 79872 94592 106496 115284 141888 153712 159744 189184 212992 230568 283776 307424 319488 378368 461136 567552 614848 638976 756736 922272 1135104 1229696 1513472 1844544 2270208 2459392 3026944 3689088 4540416 4918784 6053888 7378176 9080832 9837568 12107776 14756352 18161664 19675136 29512704 36323328 39350272 59025408 78700544 118050816 157401088 236101632 472203264