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942041088 = 2113251109
BaseRepresentation
bin111000001001100…
…110100000000000
32102122121122102200
4320021212200000
53412130303323
6233251113200
732226134322
oct7011464000
92378548380
10942041088
1144383745a
122235a2800
13120226281
148d181612
1557a83443
hex38266800

942041088 has 72 divisors (see below), whose sum is σ = 2720840850. Its totient is φ = 314007552.

The previous prime is 942041083. The next prime is 942041101. The reversal of 942041088 is 880140249.

It can be written as a sum of positive squares in only one way, i.e., 562258944 + 379782144 = 23712^2 + 19488^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×9420410882 = 1774882822960447488, which contains 22 as substring.

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 (942041083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7123 + ... + 43986.

Almost surely, 2942041088 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 942041088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360420425).

942041088 is an abundant number, since it is smaller than the sum of its proper divisors (1778799762).

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

942041088 is a wasteful number, since it uses less digits than its factorization.

942041088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51137 (or 51114 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 942041088 is about 30692.6878588370. The cubic root of 942041088 is about 980.2946108550.

The spelling of 942041088 in words is "nine hundred forty-two million, forty-one thousand, eighty-eight".

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 2048 2304 3072 4608 6144 9216 18432 51109 102218 153327 204436 306654 408872 459981 613308 817744 919962 1226616 1635488 1839924 2453232 3270976 3679848 4906464 6541952 7359696 9812928 13083904 14719392 19625856 26167808 29438784 39251712 52335616 58877568 78503424 104671232 117755136 157006848 235510272 314013696 471020544 942041088