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428147712 = 2103246457
BaseRepresentation
bin11001100001010…
…000010000000000
31002211122011020200
4121201100100000
51334101211322
6110252405200
713416124026
oct3141202000
91084564220
10428147712
111aa750793
12bb476800
136a918455
1440c10716
15278c38ac
hex19850400

428147712 has 66 divisors (see below), whose sum is σ = 1236293838. Its totient is φ = 142712832.

The previous prime is 428147711. The next prime is 428147743. The reversal of 428147712 is 217741824.

It can be written as a sum of positive squares in only one way, i.e., 410305536 + 17842176 = 20256^2 + 4224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (428147711) 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 5 ways as a sum of consecutive naturals, for example, 14013 + ... + 32444.

Almost surely, 2428147712 is an apocalyptic number.

It is an amenable number.

428147712 is an abundant number, since it is smaller than the sum of its proper divisors (808146126).

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

428147712 is a wasteful number, since it uses less digits than its factorization.

428147712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46483 (or 46462 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 428147712 is about 20691.7305221192. The cubic root of 428147712 is about 753.6988902912.

The spelling of 428147712 in words is "four hundred twenty-eight million, one hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 46457 92914 139371 185828 278742 371656 418113 557484 743312 836226 1114968 1486624 1672452 2229936 2973248 3344904 4459872 5946496 6689808 8919744 11892992 13379616 17839488 23785984 26759232 35678976 47571968 53518464 71357952 107036928 142715904 214073856 428147712