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966966252 = 223721295407
BaseRepresentation
bin111001101000101…
…011101111101100
32111101111222022220
4321220223233230
53440020410002
6235541235340
732651035410
oct7150535754
92441458286
10966966252
1145691106a
1222ba02b50
131254423a5
14925ccd40
1559d587bc
hex39a2bbec

966966252 has 48 divisors (see below), whose sum is σ = 2580264960. Its totient is φ = 276095232.

The previous prime is 966966233. The next prime is 966966257. The reversal of 966966252 is 252669669.

It is a junction number, because it is equal to n+sod(n) for n = 966966195 and 966966204.

It is not an unprimeable number, because it can be changed into a prime (966966257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176133 + ... + 181539.

It is an arithmetic number, because the mean of its divisors is an integer number (53755520).

Almost surely, 2966966252 is an apocalyptic number.

It is an amenable number.

966966252 is an abundant number, since it is smaller than the sum of its proper divisors (1613298708).

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

966966252 is a wasteful number, since it uses less digits than its factorization.

966966252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7550 (or 7548 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The square root of 966966252 is about 31096.0809749396. The cubic root of 966966252 is about 988.8652276869.

The spelling of 966966252 in words is "nine hundred sixty-six million, nine hundred sixty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 2129 4258 5407 6387 8516 10814 12774 14903 16221 21628 25548 29806 32442 37849 44709 59612 64884 75698 89418 113547 151396 178836 227094 454188 11511503 23023006 34534509 46046012 69069018 80580521 138138036 161161042 241741563 322322084 483483126 966966252