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19640952 = 2332535147
BaseRepresentation
bin100101011101…
…1001001111000
31100221212022200
41022323021320
520012002302
61540550200
7325642152
oct112731170
940855280
1019640952
11100a55a1
1266b2360
1340b8b86
142873ad2
151ace81c
hex12bb278

19640952 has 48 divisors (see below), whose sum is σ = 54208440. Its totient is φ = 6422208.

The previous prime is 19640947. The next prime is 19640953. The reversal of 19640952 is 25904691.

19640952 is a `hidden beast` number, since 1 + 9 + 640 + 9 + 5 + 2 = 666.

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 (19640953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1243 + ... + 6389.

Almost surely, 219640952 is an apocalyptic number.

19640952 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 19640952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27104220).

19640952 is an abundant number, since it is smaller than the sum of its proper divisors (34567488).

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

19640952 is a wasteful number, since it uses less digits than its factorization.

19640952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 19640952 is about 4431.8113678269. The cubic root of 19640952 is about 269.8075995546.

The spelling of 19640952 in words is "nineteen million, six hundred forty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 5147 10294 15441 20588 30882 41176 46323 61764 92646 123528 185292 272791 370584 545582 818373 1091164 1636746 2182328 2455119 3273492 4910238 6546984 9820476 19640952