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441780440 = 23553208387
BaseRepresentation
bin11010010101010…
…000100011011000
31010210021202211112
4122111100203120
51401043433230
6111500515452
713643033423
oct3225204330
91123252745
10441780440
11207412202
12103b4bb88
13706ac65a
144295c9ba
1528bb7d95
hex1a5508d8

441780440 has 32 divisors (see below), whose sum is σ = 1012765680. Its totient is φ = 173377152.

The previous prime is 441780439. The next prime is 441780487. The reversal of 441780440 is 44087144.

It is a junction number, because it is equal to n+sod(n) for n = 441780397 and 441780406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102074 + ... + 106313.

Almost surely, 2441780440 is an apocalyptic number.

441780440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441780440 is an abundant number, since it is smaller than the sum of its proper divisors (570985240).

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

441780440 is a wasteful number, since it uses less digits than its factorization.

441780440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208451 (or 208447 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 441780440 is about 21018.5736909049. The cubic root of 441780440 is about 761.6150097891.

The spelling of 441780440 in words is "four hundred forty-one million, seven hundred eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 208387 416774 833548 1041935 1667096 2083870 4167740 8335480 11044511 22089022 44178044 55222555 88356088 110445110 220890220 441780440