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9042892288 = 2929709859
BaseRepresentation
bin10000110101111111…
…11001011000000000
3212100012210112011121
420122333321120000
5122004440023123
64053152322024
7440043213313
oct103277713000
925305715147
109042892288
113920527901
121904543314
13b1161a451
1461adbc97a
1537dd5075d
hex21aff9600

9042892288 has 80 divisors (see below), whose sum is σ = 18739314000. Its totient is φ = 4354301952.

The previous prime is 9042892223. The next prime is 9042892337. The reversal of 9042892288 is 8822982409.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10526803 + ... + 10527661.

It is an arithmetic number, because the mean of its divisors is an integer number (234241425).

Almost surely, 29042892288 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 9042892288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9369657000).

9042892288 is an abundant number, since it is smaller than the sum of its proper divisors (9696421712).

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

9042892288 is an equidigital number, since it uses as much as digits as its factorization.

9042892288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The square root of 9042892288 is about 95094.1233094874. The cubic root of 9042892288 is about 2083.3830154225.

The spelling of 9042892288 in words is "nine billion, forty-two million, eight hundred ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 709 859 928 1418 1718 1856 2836 3436 3712 5672 6872 7424 11344 13744 14848 20561 22688 24911 27488 41122 45376 49822 54976 82244 90752 99644 109952 164488 181504 199288 219904 328976 363008 398576 439808 609031 657952 797152 1218062 1315904 1594304 2436124 2631808 3188608 4872248 5263616 6377216 9744496 10527232 12754432 17661899 19488992 35323798 38977984 70647596 77955968 141295192 155911936 282590384 311823872 565180768 1130361536 2260723072 4521446144 9042892288