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194868048 = 24337113971
BaseRepresentation
bin10111001110101…
…11001101010000
3111120200022201010
423213113031100
5344341234143
631200410520
74554231264
oct1347271520
9446608633
10194868048
119aaa8281
1255316a40
13314ab44b
141bc480a4
1512193a33
hexb9d7350

194868048 has 80 divisors (see below), whose sum is σ = 522127296. Its totient is φ = 62576640.

The previous prime is 194868041. The next prime is 194868049. The reversal of 194868048 is 840868491.

It is a super-2 number, since 2×1948680482 = 75947112262660608, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 194867988 and 194868006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194868041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200203 + ... + 201173.

Almost surely, 2194868048 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 194868048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261063648).

194868048 is an abundant number, since it is smaller than the sum of its proper divisors (327259248).

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

194868048 is a wasteful number, since it uses less digits than its factorization.

194868048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 194868048 is about 13959.5146047418. The cubic root of 194868048 is about 579.7581710828.

It can be divided in two parts, 1948 and 68048, that added together give a palindrome (69996).

The spelling of 194868048 in words is "one hundred ninety-four million, eight hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 113 148 222 226 296 339 444 452 592 678 888 904 971 1356 1776 1808 1942 2712 2913 3884 4181 5424 5826 7768 8362 11652 12543 15536 16724 23304 25086 33448 35927 46608 50172 66896 71854 100344 107781 109723 143708 200688 215562 219446 287416 329169 431124 438892 574832 658338 862248 877784 1316676 1724496 1755568 2633352 4059751 5266704 8119502 12179253 16239004 24358506 32478008 48717012 64956016 97434024 194868048