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561224040 = 2335132291571
BaseRepresentation
bin100001011100111…
…001100101101000
31110010001010122120
4201130321211220
52122133132130
6131404551240
716623216456
oct4134714550
91403033576
10561224040
11268883a23
12137b52520
138c370240
14547719d6
153440d910
hex21739968

561224040 has 128 divisors (see below), whose sum is σ = 1822262400. Its totient is φ = 137456640.

The previous prime is 561224023. The next prime is 561224047. The reversal of 561224040 is 40422165.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 561224040.

It is not an unprimeable number, because it can be changed into a prime (561224047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356455 + ... + 358025.

It is an arithmetic number, because the mean of its divisors is an integer number (14236425).

Almost surely, 2561224040 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 561224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911131200).

561224040 is an abundant number, since it is smaller than the sum of its proper divisors (1261038360).

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

561224040 is a wasteful number, since it uses less digits than its factorization.

561224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 561224040 is about 23690.1675806652. The cubic root of 561224040 is about 824.8571727034.

The spelling of 561224040 in words is "five hundred sixty-one million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 229 260 312 390 458 520 687 780 916 1145 1374 1560 1571 1832 2290 2748 2977 3142 3435 4580 4713 5496 5954 6284 6870 7855 8931 9160 9426 11908 12568 13740 14885 15710 17862 18852 20423 23565 23816 27480 29770 31420 35724 37704 40846 44655 47130 59540 61269 62840 71448 81692 89310 94260 102115 119080 122538 163384 178620 188520 204230 245076 306345 357240 359759 408460 490152 612690 719518 816920 1079277 1225380 1439036 1798795 2158554 2450760 2878072 3597590 4317108 4676867 5396385 7195180 8634216 9353734 10792770 14030601 14390360 18707468 21585540 23384335 28061202 37414936 43171080 46768670 56122404 70153005 93537340 112244808 140306010 187074680 280612020 561224040