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474936 = 233711257
BaseRepresentation
bin1110011111100111000
3220010111020
41303330320
5110144221
614102440
74015440
oct1637470
9803436
10474936
112a4910
121aaa20
13138237
14c5120
1595ac6
hex73f38

474936 has 64 divisors (see below), whose sum is σ = 1486080. Its totient is φ = 122880.

The previous prime is 474931. The next prime is 474937. The reversal of 474936 is 639474.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 474897 and 474906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474931) by changing a digit.

474936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720 + ... + 1976.

It is an arithmetic number, because the mean of its divisors is an integer number (23220).

2474936 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 474936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743040).

474936 is an abundant number, since it is smaller than the sum of its proper divisors (1011144).

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

474936 is a wasteful number, since it uses less digits than its factorization.

474936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 474936 is about 689.1560055604. The cubic root of 474936 is about 78.0210331181.

The spelling of 474936 in words is "four hundred seventy-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 257 264 308 462 514 616 771 924 1028 1542 1799 1848 2056 2827 3084 3598 5397 5654 6168 7196 8481 10794 11308 14392 16962 19789 21588 22616 33924 39578 43176 59367 67848 79156 118734 158312 237468 474936