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424165300 = 2252131721129
BaseRepresentation
bin11001010010000…
…011111110110100
31002120010211101221
4121102003332310
51332041242200
6110031200124
713340226346
oct3122037664
91076124357
10424165300
111a8480739
12ba076044
1369b528b0
1440495296
152738891a
hex19483fb4

424165300 has 108 divisors (see below), whose sum is σ = 1053912580. Its totient is φ = 147271680.

The previous prime is 424165277. The next prime is 424165319. The reversal of 424165300 is 3561424.

It can be written as a sum of positive squares in 18 ways, for example, as 327103396 + 97061904 = 18086^2 + 9852^2 .

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 375136 + ... + 376264.

Almost surely, 2424165300 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 424165300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526956290).

424165300 is an abundant number, since it is smaller than the sum of its proper divisors (629747280).

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

424165300 is a wasteful number, since it uses less digits than its factorization.

424165300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 424165300 is about 20595.2737296691. The cubic root of 424165300 is about 751.3547661529.

The spelling of 424165300 in words is "four hundred twenty-four million, one hundred sixty-five thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 289 325 340 425 442 578 650 850 884 1105 1129 1156 1300 1445 1700 2210 2258 2890 3757 4420 4516 5525 5645 5780 7225 7514 11050 11290 14450 14677 15028 18785 19193 22100 22580 28225 28900 29354 37570 38386 56450 58708 73385 75140 76772 93925 95965 112900 146770 187850 191930 249509 293540 326281 366925 375700 383860 479825 499018 652562 733850 959650 998036 1247545 1305124 1467700 1631405 1919300 2495090 3262810 4241653 4990180 6237725 6525620 8157025 8483306 12475450 16314050 16966612 21208265 24950900 32628100 42416530 84833060 106041325 212082650 424165300