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561383064 = 2332115631259
BaseRepresentation
bin100001011101100…
…000011010011000
31110010100012210100
4201131200122120
52122203224224
6131412215400
716624451214
oct4135403230
91403305710
10561383064
11268982450
1213800a560
138c3c7738
14547b3944
1534440ac9
hex21760698

561383064 has 96 divisors (see below), whose sum is σ = 1662897600. Its totient is φ = 169679040.

The previous prime is 561383051. The next prime is 561383071. The reversal of 561383064 is 460383165.

561383064 is a `hidden beast` number, since 5 + 613 + 8 + 30 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445267 + ... + 446525.

It is an arithmetic number, because the mean of its divisors is an integer number (17321850).

Almost surely, 2561383064 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 561383064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831448800).

561383064 is an abundant number, since it is smaller than the sum of its proper divisors (1101514536).

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

561383064 is a wasteful number, since it uses less digits than its factorization.

561383064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 561383064 is about 23693.5236720923. The cubic root of 561383064 is about 824.9350736784.

The spelling of 561383064 in words is "five hundred sixty-one million, three hundred eighty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 563 792 1126 1259 1689 2252 2518 3378 3777 4504 5036 5067 6193 6756 7554 10072 10134 11331 12386 13512 13849 15108 18579 20268 22662 24772 27698 30216 37158 40536 41547 45324 49544 55396 55737 74316 83094 90648 110792 111474 124641 148632 166188 222948 249282 332376 445896 498564 708817 997128 1417634 2126451 2835268 4252902 5670536 6379353 7796987 8505804 12758706 15593974 17011608 23390961 25517412 31187948 46781922 51034824 62375896 70172883 93563844 140345766 187127688 280691532 561383064