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424447000 = 23534191013
BaseRepresentation
bin11001010011001…
…000110000011000
31002120200010211021
4121103020300120
51332124301000
6110041212224
713342511545
oct3123106030
91076603737
10424447000
111a865334a
12ba191074
1369c20b93
1440529bcc
15273e211a
hex194c8c18

424447000 has 64 divisors (see below), whose sum is σ = 996559200. Its totient is φ = 169206400.

The previous prime is 424446983. The next prime is 424447069. The reversal of 424447000 is 744424.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418494 + ... + 419506.

Almost surely, 2424447000 is an apocalyptic number.

424447000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424447000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498279600).

424447000 is an abundant number, since it is smaller than the sum of its proper divisors (572112200).

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

424447000 is a wasteful number, since it uses less digits than its factorization.

424447000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 424447000 is about 20602.1115422667. Note that the first 3 decimals coincide. The cubic root of 424447000 is about 751.5210612264.

The spelling of 424447000 in words is "four hundred twenty-four million, four hundred forty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 419 500 838 1000 1013 1676 2026 2095 3352 4052 4190 5065 8104 8380 10130 10475 16760 20260 20950 25325 40520 41900 50650 52375 83800 101300 104750 126625 202600 209500 253250 419000 424447 506500 848894 1013000 1697788 2122235 3395576 4244470 8488940 10611175 16977880 21222350 42444700 53055875 84889400 106111750 212223500 424447000