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472836 = 223713433
BaseRepresentation
bin1110011011100000100
3220000121110
41303130010
5110112321
614045020
74006350
oct1633404
9800543
10472836
112a3281
121a9770
131372b0
14c4460
1595176
hex73704

472836 has 48 divisors (see below), whose sum is σ = 1361024. Its totient is φ = 124416.

The previous prime is 472831. The next prime is 472837. The reversal of 472836 is 638274.

472836 = T53 + T54 + ... + T143.

It is a d-powerful number, because it can be written as 49 + 72 + 83 + 215 + 311 + 63 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472836.

It is not an unprimeable number, because it can be changed into a prime (472831) by changing a digit.

472836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is an upside-down number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876 + ... + 1308.

2472836 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 472836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680512).

472836 is an abundant number, since it is smaller than the sum of its proper divisors (888188).

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

472836 is a wasteful number, since it uses less digits than its factorization.

472836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 472836 is about 687.6307148463. The cubic root of 472836 is about 77.9058693545.

The spelling of 472836 in words is "four hundred seventy-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 433 546 866 1092 1299 1732 2598 3031 5196 5629 6062 9093 11258 12124 16887 18186 22516 33774 36372 39403 67548 78806 118209 157612 236418 472836