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427223552 = 297217029
BaseRepresentation
bin11001011101101…
…110101000000000
31002202220012112112
4121131232220000
51333332123202
6110220514452
713405224500
oct3135565000
91082805475
10427223552
111aa17a418
12bb0aba28
136a683902
1440a4da00
152778eb52
hex1976ea00

427223552 has 60 divisors (see below), whose sum is σ = 993036330. Its totient is φ = 183085056.

The previous prime is 427223539. The next prime is 427223579. The reversal of 427223552 is 255322724.

It can be written as a sum of positive squares in only one way, i.e., 309197056 + 118026496 = 17584^2 + 10864^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 5 ways as a sum of consecutive naturals, for example, 16574 + ... + 33602.

Almost surely, 2427223552 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 427223552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496518165).

427223552 is an abundant number, since it is smaller than the sum of its proper divisors (565812778).

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

427223552 is an equidigital number, since it uses as much as digits as its factorization.

427223552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17061 (or 17038 counting only the distinct ones).

The product of its digits is 33600, while the sum is 32.

The square root of 427223552 is about 20669.3868317374. The cubic root of 427223552 is about 753.1562114370.

The spelling of 427223552 in words is "four hundred twenty-seven million, two hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 3136 3584 6272 12544 17029 25088 34058 68116 119203 136232 238406 272464 476812 544928 834421 953624 1089856 1668842 1907248 2179712 3337684 3814496 4359424 6675368 7628992 8718848 13350736 15257984 26701472 30515968 53402944 61031936 106805888 213611776 427223552