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1994031392 = 25418771733
BaseRepresentation
bin111011011011010…
…1000000100100000
312010222010021211112
41312312220010200
513040433001032
6525511002452
7100261662413
oct16666500440
95128107745
101994031392
11933640331
12477969428
1325a167742
1414cb83b7a
15ba0d41b2
hex76da8120

1994031392 has 48 divisors (see below), whose sum is σ = 4028407992. Its totient is φ = 971028480.

The previous prime is 1994031373. The next prime is 1994031397. The reversal of 1994031392 is 2931304991.

It can be written as a sum of positive squares in 4 ways, for example, as 1511965456 + 482065936 = 38884^2 + 21956^2 .

It is a super-2 number, since 2×19940313922 = 7952322384562915328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (1994031397) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1149758 + ... + 1151490.

Almost surely, 21994031392 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 1994031392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014203996).

1994031392 is an abundant number, since it is smaller than the sum of its proper divisors (2034376600).

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

1994031392 is a wasteful number, since it uses less digits than its factorization.

1994031392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 41.

The square root of 1994031392 is about 44654.5786230259. The cubic root of 1994031392 is about 1258.6664719090. Note that the first 3 decimals are identical.

The spelling of 1994031392 in words is "one billion, nine hundred ninety-four million, thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 877 1312 1733 1754 3466 3508 6932 7016 13864 14032 27728 28064 35957 55456 71053 71914 142106 143828 284212 287656 568424 575312 1136848 1150624 1519841 2273696 3039682 6079364 12158728 24317456 48634912 62313481 124626962 249253924 498507848 997015696 1994031392