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1226326528 = 29736983
BaseRepresentation
bin100100100011000…
…0100001000000000
310011110112211202001
41021012010020000
510002414422103
6321404233344
742250414000
oct11106041000
93143484661
101226326528
1157a2582a9
122a283b854
131670b13cb
14b8c24000
15729db01d
hex49184200

1226326528 has 80 divisors (see below), whose sum is σ = 2857852800. Its totient is φ = 525493248.

The previous prime is 1226326499. The next prime is 1226326537. The reversal of 1226326528 is 8256236221.

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, 172125 + ... + 179107.

It is an arithmetic number, because the mean of its divisors is an integer number (35723160).

Almost surely, 21226326528 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 1226326528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428926400).

1226326528 is an abundant number, since it is smaller than the sum of its proper divisors (1631526272).

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

1226326528 is an frugal number, since it uses more digits than its factorization.

1226326528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 6992 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 1226326528 is about 35018.9452725236. The cubic root of 1226326528 is about 1070.3735639189.

The spelling of 1226326528 in words is "one billion, two hundred twenty-six million, three hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1372 1568 1792 2744 3136 3584 5488 6272 6983 10976 12544 13966 21952 25088 27932 43904 48881 55864 87808 97762 111728 175616 195524 223456 342167 391048 446912 684334 782096 893824 1368668 1564192 1787648 2395169 2737336 3128384 3575296 4790338 5474672 6256768 9580676 10949344 12513536 19161352 21898688 25027072 38322704 43797376 76645408 87594752 153290816 175189504 306581632 613163264 1226326528