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196570752 = 2737231337
BaseRepresentation
bin10111011011101…
…10111010000000
3111200212211101020
423231312322000
5400310231002
631301105440
74604552400
oct1355667200
9450784336
10196570752
11a0a60574
12559b8280
1331956471
141c16c800
15123cd2bc
hexbb76e80

196570752 has 192 divisors, whose sum is σ = 628842240. Its totient is φ = 54190080.

The previous prime is 196570739. The next prime is 196570753. The reversal of 196570752 is 257075691.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (196570753) 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, 583128 + ... + 583464.

It is an arithmetic number, because the mean of its divisors is an integer number (3275220).

Almost surely, 2196570752 is an apocalyptic number.

196570752 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 196570752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314421120).

196570752 is an abundant number, since it is smaller than the sum of its proper divisors (432271488).

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

196570752 is a wasteful number, since it uses less digits than its factorization.

196570752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 196570752 is about 14020.3691820151. The cubic root of 196570752 is about 581.4418664084.

The spelling of 196570752 in words is "one hundred ninety-six million, five hundred seventy thousand, seven hundred fifty-two".