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1941594096 = 243138934961
BaseRepresentation
bin111001110111010…
…0101111111110000
312000022110012101110
41303232211333300
512434022002341
6520355033320
766054164121
oct16356457760
95008405343
101941594096
11906a85422
1246229b840
1324c337b60
14145c14048
15b56c7216
hex73ba5ff0

1941594096 has 80 divisors (see below), whose sum is σ = 5462462880. Its totient is φ = 590684160.

The previous prime is 1941594079. The next prime is 1941594107. The reversal of 1941594096 is 6904951491.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38056 + ... + 73016.

It is an arithmetic number, because the mean of its divisors is an integer number (68280786).

Almost surely, 21941594096 is an apocalyptic number.

1941594096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1941594096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731231440).

1941594096 is an abundant number, since it is smaller than the sum of its proper divisors (3520868784).

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

1941594096 is a wasteful number, since it uses less digits than its factorization.

1941594096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35074 (or 35068 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 1941594096 is about 44063.5234179020. The cubic root of 1941594096 is about 1247.5352168831.

The spelling of 1941594096 in words is "one billion, nine hundred forty-one million, five hundred ninety-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 534 624 712 1068 1157 1424 2136 2314 3471 4272 4628 6942 9256 13884 18512 27768 34961 55536 69922 104883 139844 209766 279688 419532 454493 559376 839064 908986 1363479 1678128 1817972 2726958 3111529 3635944 5453916 6223058 7271888 9334587 10907832 12446116 18669174 21815664 24892232 37338348 40449877 49784464 74676696 80899754 121349631 149353392 161799508 242699262 323599016 485398524 647198032 970797048 1941594096