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194985792 = 2634291297
BaseRepresentation
bin10111001111100…
…11111101000000
3111120220022020000
423213303331000
5344404021132
631203120000
74555231461
oct1347637500
9446808200
10194985792
11a0078791
1255373000
133151cc11
141bc78d68
15121b887c
hexb9f3f40

194985792 has 140 divisors (see below), whose sum is σ = 598390980. Its totient is φ = 62705664.

The previous prime is 194985773. The next prime is 194985793. The reversal of 194985792 is 297589491.

194985792 is a `hidden beast` number, since 19 + 498 + 57 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164249856 + 30735936 = 12816^2 + 5544^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194985793) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149688 + ... + 150984.

Almost surely, 2194985792 is an apocalyptic number.

194985792 is a gapful number since it is divisible by the number (12) 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 194985792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299195490).

194985792 is an abundant number, since it is smaller than the sum of its proper divisors (403405188).

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

194985792 is a wasteful number, since it uses less digits than its factorization.

194985792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1331 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 194985792 is about 13963.7313064954. The cubic root of 194985792 is about 579.8749155546.

The spelling of 194985792 in words is "one hundred ninety-four million, nine hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 432 464 522 576 648 696 783 864 928 1044 1296 1297 1392 1566 1728 1856 2088 2349 2592 2594 2784 3132 3891 4176 4698 5184 5188 5568 6264 7782 8352 9396 10376 11673 12528 15564 16704 18792 20752 23346 25056 31128 35019 37584 37613 41504 46692 50112 62256 70038 75168 75226 83008 93384 105057 112839 124512 140076 150336 150452 186768 210114 225678 249024 280152 300904 338517 373536 420228 451356 560304 601808 677034 747072 840456 902712 1015551 1120608 1203616 1354068 1680912 1805424 2031102 2241216 2407232 2708136 3046653 3361824 3610848 4062204 5416272 6093306 6723648 7221696 8124408 10832544 12186612 16248816 21665088 24373224 32497632 48746448 64995264 97492896 194985792