Search a number
-
+
196468488 = 233217315773
BaseRepresentation
bin10111011010111…
…01111100001000
3111200200122002200
423231131330020
5400243442423
631255000200
74603645266
oct1355357410
9450618080
10196468488
11a09a0757
1255969060
133191ba58
141c143436
15123acd43
hexbb5df08

196468488 has 48 divisors (see below), whose sum is σ = 535211820. Its totient is φ = 65106816.

The previous prime is 196468463. The next prime is 196468501. The reversal of 196468488 is 884864691.

It can be written as a sum of positive squares in 2 ways, for example, as 181117764 + 15350724 = 13458^2 + 3918^2 .

It is a super-2 number, since 2×1964684882 = 77199733554012288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4570 + ... + 20342.

Almost surely, 2196468488 is an apocalyptic number.

196468488 is a gapful number since it is divisible by the number (18) 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 196468488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267605910).

196468488 is an abundant number, since it is smaller than the sum of its proper divisors (338743332).

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

196468488 is a wasteful number, since it uses less digits than its factorization.

196468488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15958 (or 15951 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 196468488 is about 14016.7217279933. The cubic root of 196468488 is about 581.3410191144.

The spelling of 196468488 in words is "one hundred ninety-six million, four hundred sixty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1384 1557 2076 3114 4152 6228 12456 15773 31546 47319 63092 94638 126184 141957 189276 283914 378552 567828 1135656 2728729 5457458 8186187 10914916 16372374 21829832 24558561 32744748 49117122 65489496 98234244 196468488