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869230464 = 2735993779
BaseRepresentation
bin110011110011110…
…110011110000000
32020120121111000220
4303303312132000
53240010333324
6222130343040
730353223414
oct6363663600
92216544026
10869230464
11406726793
1220312aa80
1310b11236b
148362ad44
155149eb79
hex33cf6780

869230464 has 64 divisors (see below), whose sum is σ = 2313360000. Its totient is φ = 289183232.

The previous prime is 869230447. The next prime is 869230469. The reversal of 869230464 is 464032968.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869230469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228127 + ... + 231905.

It is an arithmetic number, because the mean of its divisors is an integer number (36146250).

Almost surely, 2869230464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156680000).

869230464 is an abundant number, since it is smaller than the sum of its proper divisors (1444129536).

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

869230464 is a wasteful number, since it uses less digits than its factorization.

869230464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 869230464 is about 29482.7146646980. The cubic root of 869230464 is about 954.3587204527.

The spelling of 869230464 in words is "eight hundred sixty-nine million, two hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 599 1198 1797 2396 3594 3779 4792 7188 7558 9584 11337 14376 15116 19168 22674 28752 30232 38336 45348 57504 60464 76672 90696 115008 120928 181392 230016 241856 362784 483712 725568 1451136 2263621 4527242 6790863 9054484 13581726 18108968 27163452 36217936 54326904 72435872 108653808 144871744 217307616 289743488 434615232 869230464