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423789056 = 2917181269
BaseRepresentation
bin11001010000101…
…000001000000000
31002112102201021222
4121100220020000
51331442222211
6110015134212
713334101415
oct3120501000
91075381258
10423789056
111a8243a99
12b9b14368
1369a50572
14403d810c
15273121db
hex19428200

423789056 has 80 divisors (see below), whose sum is σ = 904863960. Its totient is φ = 197591040.

The previous prime is 423789049. The next prime is 423789077. The reversal of 423789056 is 650987324.

It can be written as a sum of positive squares in 4 ways, for example, as 185395456 + 238393600 = 13616^2 + 15440^2 .

It is a super-3 number, since 3×4237890563 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 423788998 and 423789016.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1575290 + ... + 1575558.

Almost surely, 2423789056 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 423789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452431980).

423789056 is an abundant number, since it is smaller than the sum of its proper divisors (481074904).

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

423789056 is a wasteful number, since it uses less digits than its factorization.

423789056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 423789056 is about 20586.1374716094. The cubic root of 423789056 is about 751.1325443377.

The spelling of 423789056 in words is "four hundred twenty-three million, seven hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 181 256 269 272 362 512 538 544 724 1076 1088 1448 2152 2176 2896 3077 4304 4352 4573 5792 6154 8608 8704 9146 11584 12308 17216 18292 23168 24616 34432 36584 46336 48689 49232 68864 73168 92672 97378 98464 137728 146336 194756 196928 292672 389512 393856 585344 779024 787712 827713 1170688 1558048 1575424 1655426 2341376 3116096 3310852 6232192 6621704 12464384 13243408 24928768 26486816 52973632 105947264 211894528 423789056