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868832544 = 25323439151
BaseRepresentation
bin110011110010010…
…101010100100000
32020112212021012010
4303302111110200
53234410120134
6222114032520
730346645326
oct6362252440
92215767163
10868832544
11406484828
12202b78740
1310b0031c8
1483565d16
1551421ce9
hex33c95520

868832544 has 96 divisors (see below), whose sum is σ = 2435457024. Its totient is φ = 270547200.

The previous prime is 868832537. The next prime is 868832563. The reversal of 868832544 is 445238868.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 868832493 and 868832502.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 90369 + ... + 99519.

It is an arithmetic number, because the mean of its divisors is an integer number (25369344).

Almost surely, 2868832544 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 868832544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217728512).

868832544 is an abundant number, since it is smaller than the sum of its proper divisors (1566624480).

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

868832544 is a wasteful number, since it uses less digits than its factorization.

868832544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230 (or 9222 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The square root of 868832544 is about 29475.9655312595. The cubic root of 868832544 is about 954.2130681002.

The spelling of 868832544 in words is "eight hundred sixty-eight million, eight hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 69 86 92 96 129 138 172 184 258 276 344 368 516 552 688 736 989 1032 1104 1376 1978 2064 2208 2967 3956 4128 5934 7912 9151 11868 15824 18302 23736 27453 31648 36604 47472 54906 73208 94944 109812 146416 210473 219624 292832 393493 420946 439248 631419 786986 841892 878496 1180479 1262838 1573972 1683784 2360958 2525676 3147944 3367568 4721916 5051352 6295888 6735136 9050339 9443832 10102704 12591776 18100678 18887664 20205408 27151017 36201356 37775328 54302034 72402712 108604068 144805424 217208136 289610848 434416272 868832544