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685433376 = 253214915973
BaseRepresentation
bin101000110110101…
…110001000100000
31202202202121211100
4220312232020200
52400432332001
6152003114400
722662042015
oct5066561040
91682677740
10685433376
11321a00271
12171672a00
13ac00c0a4
146706570c
1540296586
hex28dae220

685433376 has 72 divisors (see below), whose sum is σ = 1962405900. Its totient is φ = 226930176.

The previous prime is 685433363. The next prime is 685433381. The reversal of 685433376 is 673334586.

685433376 is a `hidden beast` number, since 6 + 8 + 543 + 33 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 679957776 + 5475600 = 26076^2 + 2340^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34926 + ... + 50898.

Almost surely, 2685433376 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 685433376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981202950).

685433376 is an abundant number, since it is smaller than the sum of its proper divisors (1276972524).

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

685433376 is a wasteful number, since it uses less digits than its factorization.

685433376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16138 (or 16127 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 685433376 is about 26180.7825704275. The cubic root of 685433376 is about 881.7018443985.

The spelling of 685433376 in words is "six hundred eighty-five million, four hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 596 894 1192 1341 1788 2384 2682 3576 4768 5364 7152 10728 14304 15973 21456 31946 42912 47919 63892 95838 127784 143757 191676 255568 287514 383352 511136 575028 766704 1150056 1533408 2300112 2379977 4600224 4759954 7139931 9519908 14279862 19039816 21419793 28559724 38079632 42839586 57119448 76159264 85679172 114238896 171358344 228477792 342716688 685433376