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196501248 = 283328429
BaseRepresentation
bin10111011011001…
…01111100000000
3111200202022001000
423231211330000
5400301014443
631255412000
74604142636
oct1355457400
9450668030
10196501248
11a0a13329
1255984000
1331930938
141c151356
15123b78d3
hexbb65f00

196501248 has 72 divisors (see below), whose sum is σ = 581109200. Its totient is φ = 65498112.

The previous prime is 196501247. The next prime is 196501273. The reversal of 196501248 is 842105691.

196501248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1965012482 = 77225480931115008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196501241) 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, 7303 + ... + 21126.

Almost surely, 2196501248 is an apocalyptic number.

196501248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

196501248 is an abundant number, since it is smaller than the sum of its proper divisors (384607952).

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

196501248 is an equidigital number, since it uses as much as digits as its factorization.

196501248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28454 (or 28434 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 196501248 is about 14017.8902834913. The cubic root of 196501248 is about 581.3733290852.

The spelling of 196501248 in words is "one hundred ninety-six million, five hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 28429 56858 85287 113716 170574 227432 255861 341148 454864 511722 682296 767583 909728 1023444 1364592 1535166 1819456 2046888 2729184 3070332 3638912 4093776 5458368 6140664 7277824 8187552 10916736 12281328 16375104 21833472 24562656 32750208 49125312 65500416 98250624 196501248