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196296416 = 2517734943
BaseRepresentation
bin10111011001100…
…11111011100000
3111200100220001122
423230303323200
5400222441131
631251151412
74602330521
oct1354637340
9450326048
10196296416
11a0893448
12558a5568
133188b634
141c0da848
1512376d7b
hexbb33ee0

196296416 has 48 divisors (see below), whose sum is σ = 414880704. Its totient is φ = 91090944.

The previous prime is 196296413. The next prime is 196296427. The reversal of 196296416 is 614692691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196296413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37241 + ... + 42183.

It is an arithmetic number, because the mean of its divisors is an integer number (8643348).

Almost surely, 2196296416 is an apocalyptic number.

196296416 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 196296416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207440352).

196296416 is an abundant number, since it is smaller than the sum of its proper divisors (218584288).

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

196296416 is a wasteful number, since it uses less digits than its factorization.

196296416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5035 counting only the distinct ones).

The product of its digits is 139968, while the sum is 44.

The square root of 196296416 is about 14010.5822862578. The cubic root of 196296416 is about 581.1712518899.

The spelling of 196296416 in words is "one hundred ninety-six million, two hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 73 136 146 272 292 544 584 1168 1241 2336 2482 4943 4964 9886 9928 19772 19856 39544 39712 79088 84031 158176 168062 336124 360839 672248 721678 1344496 1443356 2688992 2886712 5773424 6134263 11546848 12268526 24537052 49074104 98148208 196296416