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405428450 = 252721271303
BaseRepresentation
bin11000001010100…
…101100011100010
31001020212220021112
4120022211203202
51312242202300
6104121423322
713022041100
oct3012454342
91036786245
10405428450
11198943439
12b393ab42
1365cc23bb
143bbb8c70
15258d6e35
hex182a58e2

405428450 has 72 divisors (see below), whose sum is σ = 884800512. Its totient is φ = 137803680.

The previous prime is 405428449. The next prime is 405428453. The reversal of 405428450 is 54824504.

It is not an unprimeable number, because it can be changed into a prime (405428453) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310499 + ... + 311801.

It is an arithmetic number, because the mean of its divisors is an integer number (12288896).

Almost surely, 2405428450 is an apocalyptic number.

405428450 is an abundant number, since it is smaller than the sum of its proper divisors (479372062).

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

405428450 is a wasteful number, since it uses less digits than its factorization.

405428450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The square root of 405428450 is about 20135.2539094991. The cubic root of 405428450 is about 740.1244312305.

The spelling of 405428450 in words is "four hundred five million, four hundred twenty-eight thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 127 175 245 254 350 490 635 889 1225 1270 1303 1778 2450 2606 3175 4445 6223 6350 6515 8890 9121 12446 13030 18242 22225 31115 32575 44450 45605 62230 63847 65150 91210 127694 155575 165481 228025 311150 319235 330962 456050 638470 827405 1158367 1596175 1654810 2316734 3192350 4137025 5791835 8108569 8274050 11583670 16217138 28959175 40542845 57918350 81085690 202714225 405428450