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869800048 = 241347193461
BaseRepresentation
bin110011110110000…
…001100001110000
32020121200102100121
4303312001201300
53240132100143
6222150500024
730361115125
oct6366014160
92217612317
10869800048
11406a85717
12203364614
1310b2816b0
148373874c
15515637ed
hex33d81870

869800048 has 80 divisors (see below), whose sum is σ = 1867130496. Its totient is φ = 390021120.

The previous prime is 869799991. The next prime is 869800049. The reversal of 869800048 is 840008968.

It is a junction number, because it is equal to n+sod(n) for n = 869799977 and 869800013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869800049) by changing a digit.

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, 1886538 + ... + 1886998.

Almost surely, 2869800048 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 869800048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933565248).

869800048 is an abundant number, since it is smaller than the sum of its proper divisors (997330448).

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

869800048 is a wasteful number, since it uses less digits than its factorization.

869800048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 869800048 is about 29492.3727088886. The cubic root of 869800048 is about 954.5671303778.

The spelling of 869800048 in words is "eight hundred sixty-nine million, eight hundred thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 193 208 376 386 461 611 752 772 922 1222 1544 1844 2444 2509 3088 3688 4888 5018 5993 7376 9071 9776 10036 11986 18142 20072 21667 23972 36284 40144 43334 47944 72568 86668 88973 95888 117923 145136 173336 177946 235846 281671 346672 355892 471692 563342 711784 943384 1126684 1156649 1423568 1886768 2253368 2313298 4181731 4506736 4626596 8363462 9253192 16726924 18506384 33453848 54362503 66907696 108725006 217450012 434900024 869800048