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869916640 = 2555436979
BaseRepresentation
bin110011110110011…
…101111111100000
32020121220100021211
4303312131333200
53240144313030
6222153155504
730362112055
oct6366357740
92217810254
10869916640
1140705527a
122033bbb94
1310b2c2798
148376902c
155158812a
hex33d9dfe0

869916640 has 24 divisors (see below), whose sum is σ = 2055178440. Its totient is φ = 347966592.

The previous prime is 869916631. The next prime is 869916643. The reversal of 869916640 is 46619968.

It is a super-4 number, since 4×8699166404 (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869916643) by changing a digit.

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, 2718330 + ... + 2718649.

It is an arithmetic number, because the mean of its divisors is an integer number (85632435).

Almost surely, 2869916640 is an apocalyptic number.

869916640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

869916640 is an abundant number, since it is smaller than the sum of its proper divisors (1185261800).

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

869916640 is a wasteful number, since it uses less digits than its factorization.

869916640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436994 (or 5436986 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The square root of 869916640 is about 29494.3492893130. The cubic root of 869916640 is about 954.6097799955.

The spelling of 869916640 in words is "eight hundred sixty-nine million, nine hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 5436979 10873958 21747916 27184895 43495832 54369790 86991664 108739580 173983328 217479160 434958320 869916640