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472866912 = 253271631439
BaseRepresentation
bin11100001011110…
…110000001100000
31012221210010110100
4130023312001200
51432023220122
6114531102400
714501205510
oct3413660140
91187703410
10472866912
11222a14a01
12112441a00
1376c7500b
1446b31840
152b7a8aac
hex1c2f6060

472866912 has 144 divisors (see below), whose sum is σ = 1547320320. Its totient is φ = 134182656.

The previous prime is 472866869. The next prime is 472866929. The reversal of 472866912 is 219668274.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327889 + ... + 329327.

It is an arithmetic number, because the mean of its divisors is an integer number (10745280).

Almost surely, 2472866912 is an apocalyptic number.

472866912 is a gapful number since it is divisible by the number (42) 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 472866912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773660160).

472866912 is an abundant number, since it is smaller than the sum of its proper divisors (1074453408).

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

472866912 is a wasteful number, since it uses less digits than its factorization.

472866912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1614 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 472866912 is about 21745.5032592948. The cubic root of 472866912 is about 779.0756703529.

The spelling of 472866912 in words is "four hundred seventy-two million, eight hundred sixty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 163 168 224 252 288 326 336 489 504 652 672 978 1008 1141 1304 1439 1467 1956 2016 2282 2608 2878 2934 3423 3912 4317 4564 5216 5756 5868 6846 7824 8634 9128 10073 10269 11512 11736 12951 13692 15648 17268 18256 20146 20538 23024 23472 25902 27384 30219 34536 36512 40292 41076 46048 46944 51804 54768 60438 69072 80584 82152 90657 103608 109536 120876 138144 161168 164304 181314 207216 234557 241752 322336 328608 362628 414432 469114 483504 703671 725256 938228 967008 1407342 1450512 1641899 1876456 2111013 2814684 2901024 3283798 3752912 4222026 4925697 5629368 6567596 7505824 8444052 9851394 11258736 13135192 14777091 16888104 19702788 22517472 26270384 29554182 33776208 39405576 52540768 59108364 67552416 78811152 118216728 157622304 236433456 472866912