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447413220 = 22345276181
BaseRepresentation
bin11010101010101…
…111101111100100
31011011212221120000
4122222233233210
51404014210340
6112221341300
714041643502
oct3252575744
91134787500
10447413220
1120a60a1a1
12105a07830
1371902467
14435c7672
152942bd30
hex1aaafbe4

447413220 has 60 divisors (see below), whose sum is σ = 1403556924. Its totient is φ = 119309760.

The previous prime is 447413209. The next prime is 447413221. The reversal of 447413220 is 22314744.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 370254564 = 8784^2 + 19242^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (447413221) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136471 + ... + 139710.

Almost surely, 2447413220 is an apocalyptic number.

It is an amenable number.

447413220 is an abundant number, since it is smaller than the sum of its proper divisors (956143704).

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

447413220 is a wasteful number, since it uses less digits than its factorization.

447413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276202 (or 276191 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 447413220 is about 21152.1445721232. The cubic root of 447413220 is about 764.8382587703.

Adding to 447413220 its reverse (22314744), we get a palindrome (469727964).

It can be divided in two parts, 44741 and 3220, that added together give a square (47961 = 2192).

The spelling of 447413220 in words is "four hundred forty-seven million, four hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 276181 552362 828543 1104724 1380905 1657086 2485629 2761810 3314172 4142715 4971258 5523620 7456887 8285430 9942516 12428145 14913774 16570860 22370661 24856290 29827548 37284435 44741322 49712580 74568870 89482644 111853305 149137740 223706610 447413220