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804625536 = 273111314653
BaseRepresentation
bin101111111101011…
…001110010000000
32002002001012201210
4233331121302000
53121441004121
6211501530120
725640130021
oct5775316200
92062035653
10804625536
11383210090
121a5573940
13ca9123b0
1478c10c48
154a98c876
hex2ff59c80

804625536 has 128 divisors (see below), whose sum is σ = 2511109440. Its totient is φ = 225054720.

The previous prime is 804625531. The next prime is 804625541. The reversal of 804625536 is 635526408.

It is an interprime number because it is at equal distance from previous prime (804625531) and next prime (804625541).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 804625494 and 804625503.

It is not an unprimeable number, because it can be changed into a prime (804625531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47586 + ... + 62238.

Almost surely, 2804625536 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 804625536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255554720).

804625536 is an abundant number, since it is smaller than the sum of its proper divisors (1706483904).

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

804625536 is a wasteful number, since it uses less digits than its factorization.

804625536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14694 (or 14682 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 804625536 is about 28365.9220897189. The cubic root of 804625536 is about 930.1034825305.

The spelling of 804625536 in words is "eight hundred four million, six hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 13728 14653 18304 27456 29306 43959 54912 58612 87918 117224 161183 175836 190489 234448 322366 351672 380978 468896 483549 571467 644732 703344 761956 937792 967098 1142934 1289464 1406688 1523912 1875584 1934196 2095379 2285868 2578928 2813376 3047824 3868392 4190758 4571736 5157856 5626752 6095648 6286137 7736784 8381516 9143472 10315712 12191296 12572274 15473568 16763032 18286944 20631424 24382592 25144548 30947136 33526064 36573888 50289096 61894272 67052128 73147776 100578192 134104256 201156384 268208512 402312768 804625536