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966490040 = 23524162251
BaseRepresentation
bin111001100110110…
…111011110111000
32111100121210002102
4321212313132320
53434410140130
6235523122532
732644013135
oct7146673670
92440553072
10966490040
114566162aa
1222b813448
131253066c9
149250758c
1559cb2645
hex399b77b8

966490040 has 16 divisors (see below), whose sum is σ = 2174602680. Its totient is φ = 386596000.

The previous prime is 966490009. The next prime is 966490073. The reversal of 966490040 is 40094669.

It is a junction number, because it is equal to n+sod(n) for n = 966489976 and 966490003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12081086 + ... + 12081165.

Almost surely, 2966490040 is an apocalyptic number.

It is an amenable number.

966490040 is an abundant number, since it is smaller than the sum of its proper divisors (1208112640).

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

966490040 is a wasteful number, since it uses less digits than its factorization.

966490040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24162262 (or 24162258 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 966490040 is about 31088.4229255844. The cubic root of 966490040 is about 988.7028687585.

The spelling of 966490040 in words is "nine hundred sixty-six million, four hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 24162251 48324502 96649004 120811255 193298008 241622510 483245020 966490040