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196499328 = 2731731971
BaseRepresentation
bin10111011011001…
…01011110000000
3111200202012101220
423231211132000
5400300434303
631255355040
74604134224
oct1355453600
9450665356
10196499328
11a0a11943
1255982a80
133192cabc
141c150784
15123b7053
hexbb65780

196499328 has 128 divisors (see below), whose sum is σ = 571069440. Its totient is φ = 59596800.

The previous prime is 196499309. The next prime is 196499363. The reversal of 196499328 is 823994691.

196499328 is digitally balanced in base 2 and base 3, because in such bases 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 (128).

It is a super-2 number, since 2×1964993282 = 77223971808903168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201883 + ... + 202853.

It is an arithmetic number, because the mean of its divisors is an integer number (4461480).

Almost surely, 2196499328 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 196499328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285534720).

196499328 is an abundant number, since it is smaller than the sum of its proper divisors (374570112).

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

196499328 is a wasteful number, since it uses less digits than its factorization.

196499328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1024 counting only the distinct ones).

The product of its digits is 839808, while the sum is 51.

The square root of 196499328 is about 14017.8217994095. The cubic root of 196499328 is about 581.3714355596.

The spelling of 196499328 in words is "one hundred ninety-six million, four hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 136 186 192 204 248 272 372 384 408 496 527 544 744 816 971 992 1054 1088 1488 1581 1632 1942 1984 2108 2176 2913 2976 3162 3264 3884 3968 4216 5826 5952 6324 6528 7768 8432 11652 11904 12648 15536 16507 16864 23304 25296 30101 31072 33014 33728 46608 49521 50592 60202 62144 66028 67456 90303 93216 99042 101184 120404 124288 132056 180606 186432 198084 202368 240808 264112 361212 372864 396168 481616 511717 528224 722424 792336 963232 1023434 1056448 1444848 1535151 1584672 1926464 2046868 2112896 2889696 3070302 3169344 3852928 4093736 5779392 6140604 6338688 8187472 11558784 12281208 16374944 24562416 32749888 49124832 65499776 98249664 196499328