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196496352 = 253213311693
BaseRepresentation
bin10111011011001…
…00101111100000
3111200202001022200
423231210233200
5400300340402
631255333200
74604122443
oct1355445740
9450661280
10196496352
11a0a0a688
1255981200
133192b640
141c14d65a
15123b621c
hexbb64be0

196496352 has 144 divisors (see below), whose sum is σ = 621548928. Its totient is φ = 58475520.

The previous prime is 196496351. The next prime is 196496359. The reversal of 196496352 is 253694691.

196496352 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 9 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1964963522 = 77221632698615808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 196496298 and 196496307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196496351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115218 + ... + 116910.

It is an arithmetic number, because the mean of its divisors is an integer number (4316312).

Almost surely, 2196496352 is an apocalyptic number.

196496352 is a gapful number since it is divisible by the number (12) 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 196496352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310774464).

196496352 is an abundant number, since it is smaller than the sum of its proper divisors (425052576).

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

196496352 is a wasteful number, since it uses less digits than its factorization.

196496352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1742 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 196496352 is about 14017.7156484215. The cubic root of 196496352 is about 581.3685005706.

The spelling of 196496352 in words is "one hundred ninety-six million, four hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 468 496 558 624 744 806 936 992 1116 1209 1248 1488 1612 1693 1872 2232 2418 2976 3224 3386 3627 3744 4464 4836 5079 6448 6772 7254 8928 9672 10158 12896 13544 14508 15237 19344 20316 22009 27088 29016 30474 38688 40632 44018 52483 54176 58032 60948 66027 81264 88036 104966 116064 121896 132054 157449 162528 176072 198081 209932 243792 264108 314898 352144 396162 419864 472347 487584 528216 629796 682279 704288 792324 839728 944694 1056432 1259592 1364558 1584648 1679456 1889388 2046837 2112864 2519184 2729116 3169296 3778776 4093674 5038368 5458232 6140511 6338592 7557552 8187348 10916464 12281022 15115104 16374696 21832928 24562044 32749392 49124088 65498784 98248176 196496352