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942749136 = 243274492083
BaseRepresentation
bin111000001100010…
…011010111010000
32102200221121200200
4320030103113100
53412320433021
6233314215200
732235143520
oct7014232720
92380847620
10942749136
1144418041a
12223884500
13120413634
148d2c7680
1557b73126
hex383135d0

942749136 has 120 divisors (see below), whose sum is σ = 3023467200. Its totient is φ = 268627968.

The previous prime is 942749051. The next prime is 942749173. The reversal of 942749136 is 631947249.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 942749091 and 942749100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 451551 + ... + 453633.

It is an arithmetic number, because the mean of its divisors is an integer number (25195560).

Almost surely, 2942749136 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 942749136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511733600).

942749136 is an abundant number, since it is smaller than the sum of its proper divisors (2080718064).

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

942749136 is a wasteful number, since it uses less digits than its factorization.

942749136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2544 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 942749136 is about 30704.2201659642. The cubic root of 942749136 is about 980.5401492657.

The spelling of 942749136 in words is "nine hundred forty-two million, seven hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 449 504 898 1008 1347 1796 2083 2694 3143 3592 4041 4166 5388 6249 6286 7184 8082 8332 9429 10776 12498 12572 14581 16164 16664 18747 18858 21552 24996 25144 28287 29162 32328 33328 37494 37716 43743 49992 50288 56574 58324 64656 74988 75432 87486 99984 113148 116648 131229 149976 150864 174972 226296 233296 262458 299952 349944 452592 524916 699888 935267 1049832 1870534 2099664 2805801 3741068 5611602 6546869 7482136 8417403 11223204 13093738 14964272 16834806 19640607 22446408 26187476 33669612 39281214 44892816 52374952 58921821 67339224 78562428 104749904 117843642 134678448 157124856 235687284 314249712 471374568 942749136