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474828336 = 243210730817
BaseRepresentation
bin11100010011010…
…100111000110000
31020002110210000200
4130103110320300
51433024001321
6115041115200
714523655113
oct3423247060
91202423020
10474828336
11224034614
12113028b00
13774b0a18
14470c257a
152ba44d26
hex1c4d4e30

474828336 has 60 divisors (see below), whose sum is σ = 1341322632. Its totient is φ = 156791808.

The previous prime is 474828329. The next prime is 474828349. The reversal of 474828336 is 633828474.

474828336 is a nontrivial binomial coefficient, being equal to C(30817, 2).

It is a junction number, because it is equal to n+sod(n) for n = 474828291 and 474828300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 30816.

Almost surely, 2474828336 is an apocalyptic number.

474828336 is the 30816-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474828336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670661316).

474828336 is an abundant number, since it is smaller than the sum of its proper divisors (866494296).

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

474828336 is a wasteful number, since it uses less digits than its factorization.

474828336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30938 (or 30929 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 474828336 is about 21790.5561195670. The cubic root of 474828336 is about 780.1513710167.

The spelling of 474828336 in words is "four hundred seventy-four million, eight hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 15408 30817 61634 92451 123268 184902 246536 277353 369804 493072 554706 739608 1109412 1479216 2218824 3297419 4437648 6594838 9892257 13189676 19784514 26379352 29676771 39569028 52758704 59353542 79138056 118707084 158276112 237414168 474828336