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193046084 = 2272111723229
BaseRepresentation
bin10111000000110…
…10011001000100
3111110020202102222
423200122121010
5343404433314
631053351512
74532602400
oct1340323104
9443222388
10193046084
1199a73420
1254798598
1330cc106a
141b8d2100
1511e33c8e
hexb81a644

193046084 has 144 divisors (see below), whose sum is σ = 475735680. Its totient is φ = 67415040.

The previous prime is 193046017. The next prime is 193046111. The reversal of 193046084 is 480640391.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842882 + ... + 843110.

It is an arithmetic number, because the mean of its divisors is an integer number (3303720).

Almost surely, 2193046084 is an apocalyptic number.

193046084 is a gapful number since it is divisible by the number (14) 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 193046084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237867840).

193046084 is an abundant number, since it is smaller than the sum of its proper divisors (282689596).

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

193046084 is a wasteful number, since it uses less digits than its factorization.

193046084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 193046084 is about 13894.1024899056. The cubic root of 193046084 is about 577.9456492758.

The spelling of 193046084 in words is "one hundred ninety-three million, forty-six thousand, eighty-four".

Divisors: 1 2 4 7 11 14 17 22 23 28 34 44 46 49 68 77 92 98 119 154 161 187 196 229 238 253 308 322 374 391 458 476 506 539 644 748 782 833 916 1012 1078 1127 1309 1564 1603 1666 1771 2156 2254 2519 2618 2737 3206 3332 3542 3893 4301 4508 5038 5236 5267 5474 6412 7084 7786 8602 9163 10076 10534 10948 11221 12397 15572 17204 17633 18326 19159 21068 22442 24794 27251 30107 35266 36652 36869 38318 42823 44884 49588 54502 57937 60214 70532 73738 76636 85646 89539 109004 115874 120428 123431 147476 171292 179078 190757 210749 231748 246862 258083 299761 358156 381514 405559 421498 493724 516166 599522 626773 763028 811118 842996 984929 1032332 1199044 1253546 1622236 1969858 2098327 2507092 2838913 3939716 4196654 4387411 5677826 6894503 8393308 8774822 11355652 13789006 17549644 27578012 48261521 96523042 193046084