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473972772 = 2237132411801
BaseRepresentation
bin11100010000000…
…100000000100100
31020000212022102010
4130100010000210
51432314112042
6115010514220
714513462550
oct3420040044
91200768363
10473972772
112235aa839
12112895970
1377271480
1446d3c860
152b92659c
hex1c404024

473972772 has 96 divisors (see below), whose sum is σ = 1367559424. Its totient is φ = 124416000.

The previous prime is 473972743. The next prime is 473972773. The reversal of 473972772 is 277279374.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (473972773) 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 31 ways as a sum of consecutive naturals, for example, 262272 + ... + 264072.

Almost surely, 2473972772 is an apocalyptic number.

473972772 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 473972772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683779712).

473972772 is an abundant number, since it is smaller than the sum of its proper divisors (893586652).

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

473972772 is a wasteful number, since it uses less digits than its factorization.

473972772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2067 counting only the distinct ones).

The product of its digits is 1037232, while the sum is 48.

The square root of 473972772 is about 21770.9157363672. The cubic root of 473972772 is about 779.6825203680.

The spelling of 473972772 in words is "four hundred seventy-three million, nine hundred seventy-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 241 273 364 482 546 723 964 1092 1446 1687 1801 2892 3133 3374 3602 5061 5403 6266 6748 7204 9399 10122 10806 12532 12607 18798 20244 21612 21931 23413 25214 37596 37821 43862 46826 50428 65793 70239 75642 87724 93652 131586 140478 151284 163891 263172 280956 327782 434041 491673 655564 868082 983346 1302123 1736164 1966692 2604246 3038287 5208492 5642533 6076574 9114861 11285066 12153148 16927599 18229722 22570132 33855198 36459444 39497731 67710396 78995462 118493193 157990924 236986386 473972772